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Finding the Fourth Proportional to 12,748, 17,584.62 and 8,024.08

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Solution

The fourth proportional to 12,748, 17,584.62 and 8,024.08 is: 11,068.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,748 : 17,584.62 = 8,024.08 : x
  2. Step 2: Convert to fraction form
    12,748/17,584.62 = 8,024.08/x
  3. Step 3: Cross multiply
    12,748x = 17,584.62 × 8,024.08
  4. Step 4: Simplify right side
    12,748x = 141,100,397.65
  5. Step 5: Solve for x
    x = 141,100,397.65/12,748
  6. Step 6: Final answer
    x = 11,068.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.