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Finding the Fourth Proportional to 10,388.70, 15,583.86 and 5,126.54

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Solution

The fourth proportional to 10,388.70, 15,583.86 and 5,126.54 is: 7,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.70 : 15,583.86 = 5,126.54 : x
  2. Step 2: Convert to fraction form
    10,388.70/15,583.86 = 5,126.54/x
  3. Step 3: Cross multiply
    10,388.70x = 15,583.86 × 5,126.54
  4. Step 4: Simplify right side
    10,388.70x = 79,891,203.73
  5. Step 5: Solve for x
    x = 79,891,203.73/10,388.70
  6. Step 6: Final answer
    x = 7,690.20

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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.