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Finding the Fourth Proportional to 8,503.25, 12,743.13 and 4,757

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Solution

The fourth proportional to 8,503.25, 12,743.13 and 4,757 is: 7,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.25 : 12,743.13 = 4,757 : x
  2. Step 2: Convert to fraction form
    8,503.25/12,743.13 = 4,757/x
  3. Step 3: Cross multiply
    8,503.25x = 12,743.13 × 4,757
  4. Step 4: Simplify right side
    8,503.25x = 60,619,069.41
  5. Step 5: Solve for x
    x = 60,619,069.41/8,503.25
  6. Step 6: Final answer
    x = 7,128.93

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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.