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Finding the Fourth Proportional to 8,370.02, 12,538.80 and 4,661

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Solution

The fourth proportional to 8,370.02, 12,538.80 and 4,661 is: 6,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.02 : 12,538.80 = 4,661 : x
  2. Step 2: Convert to fraction form
    8,370.02/12,538.80 = 4,661/x
  3. Step 3: Cross multiply
    8,370.02x = 12,538.80 × 4,661
  4. Step 4: Simplify right side
    8,370.02x = 58,443,346.80
  5. Step 5: Solve for x
    x = 58,443,346.80/8,370.02
  6. Step 6: Final answer
    x = 6,982.46

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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.