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Finding the Fourth Proportional to 8,753.42, 13,128.50 and 2,830.43

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Solution

The fourth proportional to 8,753.42, 13,128.50 and 2,830.43 is: 4,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753.42 : 13,128.50 = 2,830.43 : x
  2. Step 2: Convert to fraction form
    8,753.42/13,128.50 = 2,830.43/x
  3. Step 3: Cross multiply
    8,753.42x = 13,128.50 × 2,830.43
  4. Step 4: Simplify right side
    8,753.42x = 37,159,220.46
  5. Step 5: Solve for x
    x = 37,159,220.46/8,753.42
  6. Step 6: Final answer
    x = 4,245.11

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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.