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Finding the Fourth Proportional to 8,312.92, 12,461.70 and 3,115.48

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Solution

The fourth proportional to 8,312.92, 12,461.70 and 3,115.48 is: 4,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.92 : 12,461.70 = 3,115.48 : x
  2. Step 2: Convert to fraction form
    8,312.92/12,461.70 = 3,115.48/x
  3. Step 3: Cross multiply
    8,312.92x = 12,461.70 × 3,115.48
  4. Step 4: Simplify right side
    8,312.92x = 38,824,177.12
  5. Step 5: Solve for x
    x = 38,824,177.12/8,312.92
  6. Step 6: Final answer
    x = 4,670.34

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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.