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Finding the Fourth Proportional to 8,378.16, 12,567.24 and 3,187.68

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Solution

The fourth proportional to 8,378.16, 12,567.24 and 3,187.68 is: 4,781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.16 : 12,567.24 = 3,187.68 : x
  2. Step 2: Convert to fraction form
    8,378.16/12,567.24 = 3,187.68/x
  3. Step 3: Cross multiply
    8,378.16x = 12,567.24 × 3,187.68
  4. Step 4: Simplify right side
    8,378.16x = 40,060,339.60
  5. Step 5: Solve for x
    x = 40,060,339.60/8,378.16
  6. Step 6: Final answer
    x = 4,781.52

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1.5x scale

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.