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Finding the Fourth Proportional to 6,490.56, 9,727.20 and 6,417.12

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Solution

The fourth proportional to 6,490.56, 9,727.20 and 6,417.12 is: 9,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.56 : 9,727.20 = 6,417.12 : x
  2. Step 2: Convert to fraction form
    6,490.56/9,727.20 = 6,417.12/x
  3. Step 3: Cross multiply
    6,490.56x = 9,727.20 × 6,417.12
  4. Step 4: Simplify right side
    6,490.56x = 62,420,609.66
  5. Step 5: Solve for x
    x = 62,420,609.66/6,490.56
  6. Step 6: Final answer
    x = 9,617.14

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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.