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Finding the Fourth Proportional to 9,428.70, 14,132.12 and 7,581.90

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Solution

The fourth proportional to 9,428.70, 14,132.12 and 7,581.90 is: 11,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.70 : 14,132.12 = 7,581.90 : x
  2. Step 2: Convert to fraction form
    9,428.70/14,132.12 = 7,581.90/x
  3. Step 3: Cross multiply
    9,428.70x = 14,132.12 × 7,581.90
  4. Step 4: Simplify right side
    9,428.70x = 107,148,320.63
  5. Step 5: Solve for x
    x = 107,148,320.63/9,428.70
  6. Step 6: Final answer
    x = 11,364.06

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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.