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Finding the Fourth Proportional to 26,318.50, 36,319.53 and 15,140.50

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Solution

The fourth proportional to 26,318.50, 36,319.53 and 15,140.50 is: 20,893.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,318.50 : 36,319.53 = 15,140.50 : x
  2. Step 2: Convert to fraction form
    26,318.50/36,319.53 = 15,140.50/x
  3. Step 3: Cross multiply
    26,318.50x = 36,319.53 × 15,140.50
  4. Step 4: Simplify right side
    26,318.50x = 549,895,843.97
  5. Step 5: Solve for x
    x = 549,895,843.97/26,318.50
  6. Step 6: Final answer
    x = 20,893.89

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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.