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Finding the Fourth Proportional to 9,428.97, 14,153.84 and 7,966.28

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Solution

The fourth proportional to 9,428.97, 14,153.84 and 7,966.28 is: 11,958.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.97 : 14,153.84 = 7,966.28 : x
  2. Step 2: Convert to fraction form
    9,428.97/14,153.84 = 7,966.28/x
  3. Step 3: Cross multiply
    9,428.97x = 14,153.84 × 7,966.28
  4. Step 4: Simplify right side
    9,428.97x = 112,753,477.94
  5. Step 5: Solve for x
    x = 112,753,477.94/9,428.97
  6. Step 6: Final answer
    x = 11,958.19

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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.