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Finding the Fourth Proportional to 2,913.76, 4,361.46 and 1,813.24

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Solution

The fourth proportional to 2,913.76, 4,361.46 and 1,813.24 is: 2,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.76 : 4,361.46 = 1,813.24 : x
  2. Step 2: Convert to fraction form
    2,913.76/4,361.46 = 1,813.24/x
  3. Step 3: Cross multiply
    2,913.76x = 4,361.46 × 1,813.24
  4. Step 4: Simplify right side
    2,913.76x = 7,908,373.73
  5. Step 5: Solve for x
    x = 7,908,373.73/2,913.76
  6. Step 6: Final answer
    x = 2,714.15

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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.