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Finding the Fourth Proportional to 10,598.70, 15,910.20 and 6,443.40

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Solution

The fourth proportional to 10,598.70, 15,910.20 and 6,443.40 is: 9,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.70 : 15,910.20 = 6,443.40 : x
  2. Step 2: Convert to fraction form
    10,598.70/15,910.20 = 6,443.40/x
  3. Step 3: Cross multiply
    10,598.70x = 15,910.20 × 6,443.40
  4. Step 4: Simplify right side
    10,598.70x = 102,515,782.68
  5. Step 5: Solve for x
    x = 102,515,782.68/10,598.70
  6. Step 6: Final answer
    x = 9,672.49

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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.