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Finding the Fourth Proportional to 4,653.66, 6,980.49 and 1,191.18

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Solution

The fourth proportional to 4,653.66, 6,980.49 and 1,191.18 is: 1,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.66 : 6,980.49 = 1,191.18 : x
  2. Step 2: Convert to fraction form
    4,653.66/6,980.49 = 1,191.18/x
  3. Step 3: Cross multiply
    4,653.66x = 6,980.49 × 1,191.18
  4. Step 4: Simplify right side
    4,653.66x = 8,315,020.08
  5. Step 5: Solve for x
    x = 8,315,020.08/4,653.66
  6. Step 6: Final answer
    x = 1,786.77

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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.