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Finding the Fourth Proportional to 12,689.90, 17,511.81 and 7,024.65

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Solution

The fourth proportional to 12,689.90, 17,511.81 and 7,024.65 is: 9,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.90 : 17,511.81 = 7,024.65 : x
  2. Step 2: Convert to fraction form
    12,689.90/17,511.81 = 7,024.65/x
  3. Step 3: Cross multiply
    12,689.90x = 17,511.81 × 7,024.65
  4. Step 4: Simplify right side
    12,689.90x = 123,014,336.12
  5. Step 5: Solve for x
    x = 123,014,336.12/12,689.90
  6. Step 6: Final answer
    x = 9,693.88

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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.