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Finding the Fourth Proportional to 26,265, 36,245.70 and 15,087

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Solution

The fourth proportional to 26,265, 36,245.70 and 15,087 is: 20,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,265 : 36,245.70 = 15,087 : x
  2. Step 2: Convert to fraction form
    26,265/36,245.70 = 15,087/x
  3. Step 3: Cross multiply
    26,265x = 36,245.70 × 15,087
  4. Step 4: Simplify right side
    26,265x = 546,838,875.90
  5. Step 5: Solve for x
    x = 546,838,875.90/26,265
  6. Step 6: Final answer
    x = 20,820.06

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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.