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Finding the Fourth Proportional to 10,691.92, 14,756.75 and 7,863.40

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Solution

The fourth proportional to 10,691.92, 14,756.75 and 7,863.40 is: 10,852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.92 : 14,756.75 = 7,863.40 : x
  2. Step 2: Convert to fraction form
    10,691.92/14,756.75 = 7,863.40/x
  3. Step 3: Cross multiply
    10,691.92x = 14,756.75 × 7,863.40
  4. Step 4: Simplify right side
    10,691.92x = 116,038,227.95
  5. Step 5: Solve for x
    x = 116,038,227.95/10,691.92
  6. Step 6: Final answer
    x = 10,852.89

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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.