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Finding the Fourth Proportional to 3,154.86, 4,731.52 and 1,398.88

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Solution

The fourth proportional to 3,154.86, 4,731.52 and 1,398.88 is: 2,097.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.86 : 4,731.52 = 1,398.88 : x
  2. Step 2: Convert to fraction form
    3,154.86/4,731.52 = 1,398.88/x
  3. Step 3: Cross multiply
    3,154.86x = 4,731.52 × 1,398.88
  4. Step 4: Simplify right side
    3,154.86x = 6,618,828.70
  5. Step 5: Solve for x
    x = 6,618,828.70/3,154.86
  6. Step 6: Final answer
    x = 2,097.98

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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.