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Finding the Fourth Proportional to 47,579.28, 71,368.92 and 12,516

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Solution

The fourth proportional to 47,579.28, 71,368.92 and 12,516 is: 18,774

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,579.28 : 71,368.92 = 12,516 : x
  2. Step 2: Convert to fraction form
    47,579.28/71,368.92 = 12,516/x
  3. Step 3: Cross multiply
    47,579.28x = 71,368.92 × 12,516
  4. Step 4: Simplify right side
    47,579.28x = 893,253,402.72
  5. Step 5: Solve for x
    x = 893,253,402.72/47,579.28
  6. Step 6: Final answer
    x = 18,774

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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.