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Finding the Fourth Proportional to 2,742, 3,775.64 and 2,348.24

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Solution

The fourth proportional to 2,742, 3,775.64 and 2,348.24 is: 3,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742 : 3,775.64 = 2,348.24 : x
  2. Step 2: Convert to fraction form
    2,742/3,775.64 = 2,348.24/x
  3. Step 3: Cross multiply
    2,742x = 3,775.64 × 2,348.24
  4. Step 4: Simplify right side
    2,742x = 8,866,108.87
  5. Step 5: Solve for x
    x = 8,866,108.87/2,742
  6. Step 6: Final answer
    x = 3,233.45

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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.