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Finding the Fourth Proportional to 8,491.68, 12,731.71 and 4,323.62

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Solution

The fourth proportional to 8,491.68, 12,731.71 and 4,323.62 is: 6,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.68 : 12,731.71 = 4,323.62 : x
  2. Step 2: Convert to fraction form
    8,491.68/12,731.71 = 4,323.62/x
  3. Step 3: Cross multiply
    8,491.68x = 12,731.71 × 4,323.62
  4. Step 4: Simplify right side
    8,491.68x = 55,047,097.01
  5. Step 5: Solve for x
    x = 55,047,097.01/8,491.68
  6. Step 6: Final answer
    x = 6,482.47

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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.