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Finding the Fourth Proportional to 2,642.88, 3,644.13 and 2,143.98

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Solution

The fourth proportional to 2,642.88, 3,644.13 and 2,143.98 is: 2,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.88 : 3,644.13 = 2,143.98 : x
  2. Step 2: Convert to fraction form
    2,642.88/3,644.13 = 2,143.98/x
  3. Step 3: Cross multiply
    2,642.88x = 3,644.13 × 2,143.98
  4. Step 4: Simplify right side
    2,642.88x = 7,812,941.84
  5. Step 5: Solve for x
    x = 7,812,941.84/2,642.88
  6. Step 6: Final answer
    x = 2,956.22

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Why These Related Problems?

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