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Finding the Fourth Proportional to 4,327, 6,491.46 and 1,248.76

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Solution

The fourth proportional to 4,327, 6,491.46 and 1,248.76 is: 1,873.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327 : 6,491.46 = 1,248.76 : x
  2. Step 2: Convert to fraction form
    4,327/6,491.46 = 1,248.76/x
  3. Step 3: Cross multiply
    4,327x = 6,491.46 × 1,248.76
  4. Step 4: Simplify right side
    4,327x = 8,106,275.59
  5. Step 5: Solve for x
    x = 8,106,275.59/4,327
  6. Step 6: Final answer
    x = 1,873.42

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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.