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Finding the Fourth Proportional to 11,489.88, 15,862.10 and 7,732.80

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Solution

The fourth proportional to 11,489.88, 15,862.10 and 7,732.80 is: 10,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.88 : 15,862.10 = 7,732.80 : x
  2. Step 2: Convert to fraction form
    11,489.88/15,862.10 = 7,732.80/x
  3. Step 3: Cross multiply
    11,489.88x = 15,862.10 × 7,732.80
  4. Step 4: Simplify right side
    11,489.88x = 122,658,408.22
  5. Step 5: Solve for x
    x = 122,658,408.22/11,489.88
  6. Step 6: Final answer
    x = 10,675.34

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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.