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Finding the Fourth Proportional to 8,319.48, 12,447.88 and 7,874.52

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Solution

The fourth proportional to 8,319.48, 12,447.88 and 7,874.52 is: 11,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.48 : 12,447.88 = 7,874.52 : x
  2. Step 2: Convert to fraction form
    8,319.48/12,447.88 = 7,874.52/x
  3. Step 3: Cross multiply
    8,319.48x = 12,447.88 × 7,874.52
  4. Step 4: Simplify right side
    8,319.48x = 98,021,080.02
  5. Step 5: Solve for x
    x = 98,021,080.02/8,319.48
  6. Step 6: Final answer
    x = 11,782.12

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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.