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Finding the Fourth Proportional to 13,000.80, 17,937.54 and 8,281.20

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Solution

The fourth proportional to 13,000.80, 17,937.54 and 8,281.20 is: 11,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.80 : 17,937.54 = 8,281.20 : x
  2. Step 2: Convert to fraction form
    13,000.80/17,937.54 = 8,281.20/x
  3. Step 3: Cross multiply
    13,000.80x = 17,937.54 × 8,281.20
  4. Step 4: Simplify right side
    13,000.80x = 148,544,356.25
  5. Step 5: Solve for x
    x = 148,544,356.25/13,000.80
  6. Step 6: Final answer
    x = 11,425.79

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1.5x scale

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.