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Finding the Fourth Proportional to 9,983.72, 14,969.10 and 8,532.20

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Solution

The fourth proportional to 9,983.72, 14,969.10 and 8,532.20 is: 12,792.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.72 : 14,969.10 = 8,532.20 : x
  2. Step 2: Convert to fraction form
    9,983.72/14,969.10 = 8,532.20/x
  3. Step 3: Cross multiply
    9,983.72x = 14,969.10 × 8,532.20
  4. Step 4: Simplify right side
    9,983.72x = 127,719,355.02
  5. Step 5: Solve for x
    x = 127,719,355.02/9,983.72
  6. Step 6: Final answer
    x = 12,792.76

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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.