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Finding the Fourth Proportional to 26,294, 39,446.76 and 9,878

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Solution

The fourth proportional to 26,294, 39,446.76 and 9,878 is: 14,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,294 : 39,446.76 = 9,878 : x
  2. Step 2: Convert to fraction form
    26,294/39,446.76 = 9,878/x
  3. Step 3: Cross multiply
    26,294x = 39,446.76 × 9,878
  4. Step 4: Simplify right side
    26,294x = 389,655,095.28
  5. Step 5: Solve for x
    x = 389,655,095.28/26,294
  6. Step 6: Final answer
    x = 14,819.16

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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.