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Finding the Fourth Proportional to 2,572.64, 3,838.10 and 2,361.20

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Solution

The fourth proportional to 2,572.64, 3,838.10 and 2,361.20 is: 3,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.64 : 3,838.10 = 2,361.20 : x
  2. Step 2: Convert to fraction form
    2,572.64/3,838.10 = 2,361.20/x
  3. Step 3: Cross multiply
    2,572.64x = 3,838.10 × 2,361.20
  4. Step 4: Simplify right side
    2,572.64x = 9,062,521.72
  5. Step 5: Solve for x
    x = 9,062,521.72/2,572.64
  6. Step 6: Final answer
    x = 3,522.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.