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Finding the Fourth Proportional to 8,616.96, 11,895.36 and 7,061.76

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Solution

The fourth proportional to 8,616.96, 11,895.36 and 7,061.76 is: 9,748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,616.96 : 11,895.36 = 7,061.76 : x
  2. Step 2: Convert to fraction form
    8,616.96/11,895.36 = 7,061.76/x
  3. Step 3: Cross multiply
    8,616.96x = 11,895.36 × 7,061.76
  4. Step 4: Simplify right side
    8,616.96x = 84,002,177.43
  5. Step 5: Solve for x
    x = 84,002,177.43/8,616.96
  6. Step 6: Final answer
    x = 9,748.47

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1.5x scale

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.