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Finding the Fourth Proportional to 2,902.44, 4,329.29 and 2,640

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Solution

The fourth proportional to 2,902.44, 4,329.29 and 2,640 is: 3,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.44 : 4,329.29 = 2,640 : x
  2. Step 2: Convert to fraction form
    2,902.44/4,329.29 = 2,640/x
  3. Step 3: Cross multiply
    2,902.44x = 4,329.29 × 2,640
  4. Step 4: Simplify right side
    2,902.44x = 11,429,312.40
  5. Step 5: Solve for x
    x = 11,429,312.40/2,902.44
  6. Step 6: Final answer
    x = 3,937.83

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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.