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Finding the Fourth Proportional to 11,366.57, 15,690.72 and 7,642.73

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Solution

The fourth proportional to 11,366.57, 15,690.72 and 7,642.73 is: 10,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.57 : 15,690.72 = 7,642.73 : x
  2. Step 2: Convert to fraction form
    11,366.57/15,690.72 = 7,642.73/x
  3. Step 3: Cross multiply
    11,366.57x = 15,690.72 × 7,642.73
  4. Step 4: Simplify right side
    11,366.57x = 119,919,936.47
  5. Step 5: Solve for x
    x = 119,919,936.47/11,366.57
  6. Step 6: Final answer
    x = 10,550.23

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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.