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Finding the Fourth Proportional to 3,449.76, 4,761 and 2,124.24

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Solution

The fourth proportional to 3,449.76, 4,761 and 2,124.24 is: 2,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.76 : 4,761 = 2,124.24 : x
  2. Step 2: Convert to fraction form
    3,449.76/4,761 = 2,124.24/x
  3. Step 3: Cross multiply
    3,449.76x = 4,761 × 2,124.24
  4. Step 4: Simplify right side
    3,449.76x = 10,113,506.64
  5. Step 5: Solve for x
    x = 10,113,506.64/3,449.76
  6. Step 6: Final answer
    x = 2,931.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.