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Finding the Fourth Proportional to 8,653.84, 12,981.52 and 6,342.60

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Solution

The fourth proportional to 8,653.84, 12,981.52 and 6,342.60 is: 9,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.84 : 12,981.52 = 6,342.60 : x
  2. Step 2: Convert to fraction form
    8,653.84/12,981.52 = 6,342.60/x
  3. Step 3: Cross multiply
    8,653.84x = 12,981.52 × 6,342.60
  4. Step 4: Simplify right side
    8,653.84x = 82,336,609.68
  5. Step 5: Solve for x
    x = 82,336,609.68/8,653.84
  6. Step 6: Final answer
    x = 9,514.46

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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.