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Finding the Fourth Proportional to 10,658.88, 15,990.63 and 4,085.07

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Solution

The fourth proportional to 10,658.88, 15,990.63 and 4,085.07 is: 6,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.88 : 15,990.63 = 4,085.07 : x
  2. Step 2: Convert to fraction form
    10,658.88/15,990.63 = 4,085.07/x
  3. Step 3: Cross multiply
    10,658.88x = 15,990.63 × 4,085.07
  4. Step 4: Simplify right side
    10,658.88x = 65,322,882.87
  5. Step 5: Solve for x
    x = 65,322,882.87/10,658.88
  6. Step 6: Final answer
    x = 6,128.49

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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.