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Finding the Fourth Proportional to 8,964.92, 12,371.89 and 4,931.92

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Solution

The fourth proportional to 8,964.92, 12,371.89 and 4,931.92 is: 6,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964.92 : 12,371.89 = 4,931.92 : x
  2. Step 2: Convert to fraction form
    8,964.92/12,371.89 = 4,931.92/x
  3. Step 3: Cross multiply
    8,964.92x = 12,371.89 × 4,931.92
  4. Step 4: Simplify right side
    8,964.92x = 61,017,128.47
  5. Step 5: Solve for x
    x = 61,017,128.47/8,964.92
  6. Step 6: Final answer
    x = 6,806.21

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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.