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Finding the Fourth Proportional to 8,312.25, 12,468.38 and 3,114.48

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Solution

The fourth proportional to 8,312.25, 12,468.38 and 3,114.48 is: 4,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.25 : 12,468.38 = 3,114.48 : x
  2. Step 2: Convert to fraction form
    8,312.25/12,468.38 = 3,114.48/x
  3. Step 3: Cross multiply
    8,312.25x = 12,468.38 × 3,114.48
  4. Step 4: Simplify right side
    8,312.25x = 38,832,504.57
  5. Step 5: Solve for x
    x = 38,832,504.57/8,312.25
  6. Step 6: Final answer
    x = 4,671.72

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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.