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Finding the Fourth Proportional to 38,957.78, 58,423.44 and 12,656

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Solution

The fourth proportional to 38,957.78, 58,423.44 and 12,656 is: 18,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,957.78 : 58,423.44 = 12,656 : x
  2. Step 2: Convert to fraction form
    38,957.78/58,423.44 = 12,656/x
  3. Step 3: Cross multiply
    38,957.78x = 58,423.44 × 12,656
  4. Step 4: Simplify right side
    38,957.78x = 739,407,056.64
  5. Step 5: Solve for x
    x = 739,407,056.64/38,957.78
  6. Step 6: Final answer
    x = 18,979.70

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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.