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Finding the Fourth Proportional to 6,660.29, 9,973.35 and 6,463.20

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Solution

The fourth proportional to 6,660.29, 9,973.35 and 6,463.20 is: 9,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.29 : 9,973.35 = 6,463.20 : x
  2. Step 2: Convert to fraction form
    6,660.29/9,973.35 = 6,463.20/x
  3. Step 3: Cross multiply
    6,660.29x = 9,973.35 × 6,463.20
  4. Step 4: Simplify right side
    6,660.29x = 64,459,755.72
  5. Step 5: Solve for x
    x = 64,459,755.72/6,660.29
  6. Step 6: Final answer
    x = 9,678.23

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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.