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Finding the Fourth Proportional to 19,957, 29,919.12 and 8,278.60

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Solution

The fourth proportional to 19,957, 29,919.12 and 8,278.60 is: 12,411.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957 : 29,919.12 = 8,278.60 : x
  2. Step 2: Convert to fraction form
    19,957/29,919.12 = 8,278.60/x
  3. Step 3: Cross multiply
    19,957x = 29,919.12 × 8,278.60
  4. Step 4: Simplify right side
    19,957x = 247,688,426.83
  5. Step 5: Solve for x
    x = 247,688,426.83/19,957
  6. Step 6: Final answer
    x = 12,411.11

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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.