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Finding the Fourth Proportional to 7,154.78, 10,731.02 and 1,959.44

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Solution

The fourth proportional to 7,154.78, 10,731.02 and 1,959.44 is: 2,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.78 : 10,731.02 = 1,959.44 : x
  2. Step 2: Convert to fraction form
    7,154.78/10,731.02 = 1,959.44/x
  3. Step 3: Cross multiply
    7,154.78x = 10,731.02 × 1,959.44
  4. Step 4: Simplify right side
    7,154.78x = 21,026,726.38
  5. Step 5: Solve for x
    x = 21,026,726.38/7,154.78
  6. Step 6: Final answer
    x = 2,938.84

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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.