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Finding the Fourth Proportional to 3,420.65, 5,129.75 and 1,665.65

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Solution

The fourth proportional to 3,420.65, 5,129.75 and 1,665.65 is: 2,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.65 : 5,129.75 = 1,665.65 : x
  2. Step 2: Convert to fraction form
    3,420.65/5,129.75 = 1,665.65/x
  3. Step 3: Cross multiply
    3,420.65x = 5,129.75 × 1,665.65
  4. Step 4: Simplify right side
    3,420.65x = 8,544,334.11
  5. Step 5: Solve for x
    x = 8,544,334.11/3,420.65
  6. Step 6: Final answer
    x = 2,497.87

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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.