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Finding the Fourth Proportional to 11,393.40, 15,711.39 and 7,616.57

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Solution

The fourth proportional to 11,393.40, 15,711.39 and 7,616.57 is: 10,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393.40 : 15,711.39 = 7,616.57 : x
  2. Step 2: Convert to fraction form
    11,393.40/15,711.39 = 7,616.57/x
  3. Step 3: Cross multiply
    11,393.40x = 15,711.39 × 7,616.57
  4. Step 4: Simplify right side
    11,393.40x = 119,666,901.73
  5. Step 5: Solve for x
    x = 119,666,901.73/11,393.40
  6. Step 6: Final answer
    x = 10,503.18

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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.