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Finding the Fourth Proportional to 6,646.66, 9,972.87 and 3,565.06

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Solution

The fourth proportional to 6,646.66, 9,972.87 and 3,565.06 is: 5,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.66 : 9,972.87 = 3,565.06 : x
  2. Step 2: Convert to fraction form
    6,646.66/9,972.87 = 3,565.06/x
  3. Step 3: Cross multiply
    6,646.66x = 9,972.87 × 3,565.06
  4. Step 4: Simplify right side
    6,646.66x = 35,553,879.92
  5. Step 5: Solve for x
    x = 35,553,879.92/6,646.66
  6. Step 6: Final answer
    x = 5,349.13

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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.