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Finding the Fourth Proportional to 8,697.12, 13,047.24 and 4,080

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Solution

The fourth proportional to 8,697.12, 13,047.24 and 4,080 is: 6,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,697.12 : 13,047.24 = 4,080 : x
  2. Step 2: Convert to fraction form
    8,697.12/13,047.24 = 4,080/x
  3. Step 3: Cross multiply
    8,697.12x = 13,047.24 × 4,080
  4. Step 4: Simplify right side
    8,697.12x = 53,232,739.20
  5. Step 5: Solve for x
    x = 53,232,739.20/8,697.12
  6. Step 6: Final answer
    x = 6,120.73

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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.