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Finding the Fourth Proportional to 26,486.76, 39,719.76 and 9,615.78

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Solution

The fourth proportional to 26,486.76, 39,719.76 and 9,615.78 is: 14,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486.76 : 39,719.76 = 9,615.78 : x
  2. Step 2: Convert to fraction form
    26,486.76/39,719.76 = 9,615.78/x
  3. Step 3: Cross multiply
    26,486.76x = 39,719.76 × 9,615.78
  4. Step 4: Simplify right side
    26,486.76x = 381,936,473.81
  5. Step 5: Solve for x
    x = 381,936,473.81/26,486.76
  6. Step 6: Final answer
    x = 14,419.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.