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Finding the Fourth Proportional to 51,454.64, 71,006.28 and 28,794.80

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Solution

The fourth proportional to 51,454.64, 71,006.28 and 28,794.80 is: 39,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,454.64 : 71,006.28 = 28,794.80 : x
  2. Step 2: Convert to fraction form
    51,454.64/71,006.28 = 28,794.80/x
  3. Step 3: Cross multiply
    51,454.64x = 71,006.28 × 28,794.80
  4. Step 4: Simplify right side
    51,454.64x = 2,044,611,631.34
  5. Step 5: Solve for x
    x = 2,044,611,631.34/51,454.64
  6. Step 6: Final answer
    x = 39,736.20

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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.