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Finding the Fourth Proportional to 8,912.71, 13,357.25 and 4,743.74

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Solution

The fourth proportional to 8,912.71, 13,357.25 and 4,743.74 is: 7,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,912.71 : 13,357.25 = 4,743.74 : x
  2. Step 2: Convert to fraction form
    8,912.71/13,357.25 = 4,743.74/x
  3. Step 3: Cross multiply
    8,912.71x = 13,357.25 × 4,743.74
  4. Step 4: Simplify right side
    8,912.71x = 63,363,348.58
  5. Step 5: Solve for x
    x = 63,363,348.58/8,912.71
  6. Step 6: Final answer
    x = 7,109.32

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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.