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Finding the Fourth Proportional to 26,282, 36,270.64 and 15,104.72

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Solution

The fourth proportional to 26,282, 36,270.64 and 15,104.72 is: 20,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,282 : 36,270.64 = 15,104.72 : x
  2. Step 2: Convert to fraction form
    26,282/36,270.64 = 15,104.72/x
  3. Step 3: Cross multiply
    26,282x = 36,270.64 × 15,104.72
  4. Step 4: Simplify right side
    26,282x = 547,857,861.42
  5. Step 5: Solve for x
    x = 547,857,861.42/26,282
  6. Step 6: Final answer
    x = 20,845.36

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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.