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Finding the Fourth Proportional to 13,011, 17,962.92 and 8,542.57

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Solution

The fourth proportional to 13,011, 17,962.92 and 8,542.57 is: 11,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011 : 17,962.92 = 8,542.57 : x
  2. Step 2: Convert to fraction form
    13,011/17,962.92 = 8,542.57/x
  3. Step 3: Cross multiply
    13,011x = 17,962.92 × 8,542.57
  4. Step 4: Simplify right side
    13,011x = 153,449,501.50
  5. Step 5: Solve for x
    x = 153,449,501.50/13,011
  6. Step 6: Final answer
    x = 11,793.83

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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.