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Finding the Fourth Proportional to 26,143, 39,192.45 and 11,340.78

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Solution

The fourth proportional to 26,143, 39,192.45 and 11,340.78 is: 17,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,143 : 39,192.45 = 11,340.78 : x
  2. Step 2: Convert to fraction form
    26,143/39,192.45 = 11,340.78/x
  3. Step 3: Cross multiply
    26,143x = 39,192.45 × 11,340.78
  4. Step 4: Simplify right side
    26,143x = 444,472,953.11
  5. Step 5: Solve for x
    x = 444,472,953.11/26,143
  6. Step 6: Final answer
    x = 17,001.60

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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.