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Finding the Fourth Proportional to 47,885.25, 71,827.88 and 12,824.13

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Solution

The fourth proportional to 47,885.25, 71,827.88 and 12,824.13 is: 19,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,885.25 : 71,827.88 = 12,824.13 : x
  2. Step 2: Convert to fraction form
    47,885.25/71,827.88 = 12,824.13/x
  3. Step 3: Cross multiply
    47,885.25x = 71,827.88 × 12,824.13
  4. Step 4: Simplify right side
    47,885.25x = 921,130,070.74
  5. Step 5: Solve for x
    x = 921,130,070.74/47,885.25
  6. Step 6: Final answer
    x = 19,236.20

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Similar ratio
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1.5x scale

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.