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Finding the Fourth Proportional to 10,921.60, 16,371.04 and 7,411.92

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Solution

The fourth proportional to 10,921.60, 16,371.04 and 7,411.92 is: 11,110.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.60 : 16,371.04 = 7,411.92 : x
  2. Step 2: Convert to fraction form
    10,921.60/16,371.04 = 7,411.92/x
  3. Step 3: Cross multiply
    10,921.60x = 16,371.04 × 7,411.92
  4. Step 4: Simplify right side
    10,921.60x = 121,340,838.80
  5. Step 5: Solve for x
    x = 121,340,838.80/10,921.60
  6. Step 6: Final answer
    x = 11,110.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.