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Finding the Fourth Proportional to 8,466.24, 12,643.11 and 8,374.74

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Solution

The fourth proportional to 8,466.24, 12,643.11 and 8,374.74 is: 12,506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.24 : 12,643.11 = 8,374.74 : x
  2. Step 2: Convert to fraction form
    8,466.24/12,643.11 = 8,374.74/x
  3. Step 3: Cross multiply
    8,466.24x = 12,643.11 × 8,374.74
  4. Step 4: Simplify right side
    8,466.24x = 105,882,759.04
  5. Step 5: Solve for x
    x = 105,882,759.04/8,466.24
  6. Step 6: Final answer
    x = 12,506.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.