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Finding the Fourth Proportional to 6,200.88, 9,301.50 and 1,583.88

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Solution

The fourth proportional to 6,200.88, 9,301.50 and 1,583.88 is: 2,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.88 : 9,301.50 = 1,583.88 : x
  2. Step 2: Convert to fraction form
    6,200.88/9,301.50 = 1,583.88/x
  3. Step 3: Cross multiply
    6,200.88x = 9,301.50 × 1,583.88
  4. Step 4: Simplify right side
    6,200.88x = 14,732,459.82
  5. Step 5: Solve for x
    x = 14,732,459.82/6,200.88
  6. Step 6: Final answer
    x = 2,375.87

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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.