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Finding the Fourth Proportional to 3,113.64, 4,672.08 and 1,381.86

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Solution

The fourth proportional to 3,113.64, 4,672.08 and 1,381.86 is: 2,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.64 : 4,672.08 = 1,381.86 : x
  2. Step 2: Convert to fraction form
    3,113.64/4,672.08 = 1,381.86/x
  3. Step 3: Cross multiply
    3,113.64x = 4,672.08 × 1,381.86
  4. Step 4: Simplify right side
    3,113.64x = 6,456,160.47
  5. Step 5: Solve for x
    x = 6,456,160.47/3,113.64
  6. Step 6: Final answer
    x = 2,073.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.