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Finding the Fourth Proportional to 10,491.80, 15,740.42 and 4,647.02

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Solution

The fourth proportional to 10,491.80, 15,740.42 and 4,647.02 is: 6,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.80 : 15,740.42 = 4,647.02 : x
  2. Step 2: Convert to fraction form
    10,491.80/15,740.42 = 4,647.02/x
  3. Step 3: Cross multiply
    10,491.80x = 15,740.42 × 4,647.02
  4. Step 4: Simplify right side
    10,491.80x = 73,145,944.61
  5. Step 5: Solve for x
    x = 73,145,944.61/10,491.80
  6. Step 6: Final answer
    x = 6,971.73

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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.