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Finding the Fourth Proportional to 4,929.97, 7,394.45 and 1,642.71

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Solution

The fourth proportional to 4,929.97, 7,394.45 and 1,642.71 is: 2,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.97 : 7,394.45 = 1,642.71 : x
  2. Step 2: Convert to fraction form
    4,929.97/7,394.45 = 1,642.71/x
  3. Step 3: Cross multiply
    4,929.97x = 7,394.45 × 1,642.71
  4. Step 4: Simplify right side
    4,929.97x = 12,146,936.96
  5. Step 5: Solve for x
    x = 12,146,936.96/4,929.97
  6. Step 6: Final answer
    x = 2,463.90

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1.5x scale

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.