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Finding the Fourth Proportional to 7,781.64, 11,672.16 and 3,101.46

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Solution

The fourth proportional to 7,781.64, 11,672.16 and 3,101.46 is: 4,652.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.64 : 11,672.16 = 3,101.46 : x
  2. Step 2: Convert to fraction form
    7,781.64/11,672.16 = 3,101.46/x
  3. Step 3: Cross multiply
    7,781.64x = 11,672.16 × 3,101.46
  4. Step 4: Simplify right side
    7,781.64x = 36,200,737.35
  5. Step 5: Solve for x
    x = 36,200,737.35/7,781.64
  6. Step 6: Final answer
    x = 4,652.07

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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.