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Finding the Fourth Proportional to 10,663.04, 15,986.30 and 7,147.41

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Solution

The fourth proportional to 10,663.04, 15,986.30 and 7,147.41 is: 10,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,663.04 : 15,986.30 = 7,147.41 : x
  2. Step 2: Convert to fraction form
    10,663.04/15,986.30 = 7,147.41/x
  3. Step 3: Cross multiply
    10,663.04x = 15,986.30 × 7,147.41
  4. Step 4: Simplify right side
    10,663.04x = 114,260,604.75
  5. Step 5: Solve for x
    x = 114,260,604.75/10,663.04
  6. Step 6: Final answer
    x = 10,715.58

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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.