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Finding the Fourth Proportional to 8,699.12, 13,050.24 and 4,082

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Solution

The fourth proportional to 8,699.12, 13,050.24 and 4,082 is: 6,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.12 : 13,050.24 = 4,082 : x
  2. Step 2: Convert to fraction form
    8,699.12/13,050.24 = 4,082/x
  3. Step 3: Cross multiply
    8,699.12x = 13,050.24 × 4,082
  4. Step 4: Simplify right side
    8,699.12x = 53,271,079.68
  5. Step 5: Solve for x
    x = 53,271,079.68/8,699.12
  6. Step 6: Final answer
    x = 6,123.73

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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.