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Finding the Fourth Proportional to 12,689.47, 17,512.32 and 7,024.44

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Solution

The fourth proportional to 12,689.47, 17,512.32 and 7,024.44 is: 9,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.47 : 17,512.32 = 7,024.44 : x
  2. Step 2: Convert to fraction form
    12,689.47/17,512.32 = 7,024.44/x
  3. Step 3: Cross multiply
    12,689.47x = 17,512.32 × 7,024.44
  4. Step 4: Simplify right side
    12,689.47x = 123,014,241.10
  5. Step 5: Solve for x
    x = 123,014,241.10/12,689.47
  6. Step 6: Final answer
    x = 9,694.20

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1.5x scale

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.