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Finding the Fourth Proportional to 11,689.74, 17,543.48 and 8,577.63

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Solution

The fourth proportional to 11,689.74, 17,543.48 and 8,577.63 is: 12,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.74 : 17,543.48 = 8,577.63 : x
  2. Step 2: Convert to fraction form
    11,689.74/17,543.48 = 8,577.63/x
  3. Step 3: Cross multiply
    11,689.74x = 17,543.48 × 8,577.63
  4. Step 4: Simplify right side
    11,689.74x = 150,481,437.46
  5. Step 5: Solve for x
    x = 150,481,437.46/11,689.74
  6. Step 6: Final answer
    x = 12,872.95

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1.5x scale

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.