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Finding the Fourth Proportional to 11,282, 15,565.56 and 7,306.16

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Solution

The fourth proportional to 11,282, 15,565.56 and 7,306.16 is: 10,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,282 : 15,565.56 = 7,306.16 : x
  2. Step 2: Convert to fraction form
    11,282/15,565.56 = 7,306.16/x
  3. Step 3: Cross multiply
    11,282x = 15,565.56 × 7,306.16
  4. Step 4: Simplify right side
    11,282x = 113,724,471.85
  5. Step 5: Solve for x
    x = 113,724,471.85/11,282
  6. Step 6: Final answer
    x = 10,080.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.