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Finding the Fourth Proportional to 4,665.77, 6,998.66 and 4,380.65

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Solution

The fourth proportional to 4,665.77, 6,998.66 and 4,380.65 is: 6,570.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.77 : 6,998.66 = 4,380.65 : x
  2. Step 2: Convert to fraction form
    4,665.77/6,998.66 = 4,380.65/x
  3. Step 3: Cross multiply
    4,665.77x = 6,998.66 × 4,380.65
  4. Step 4: Simplify right side
    4,665.77x = 30,658,623.03
  5. Step 5: Solve for x
    x = 30,658,623.03/4,665.77
  6. Step 6: Final answer
    x = 6,570.97

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.