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Finding the Fourth Proportional to 2,542.55, 3,508.74 and 1,423.58

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Solution

The fourth proportional to 2,542.55, 3,508.74 and 1,423.58 is: 1,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.55 : 3,508.74 = 1,423.58 : x
  2. Step 2: Convert to fraction form
    2,542.55/3,508.74 = 1,423.58/x
  3. Step 3: Cross multiply
    2,542.55x = 3,508.74 × 1,423.58
  4. Step 4: Simplify right side
    2,542.55x = 4,994,954.55
  5. Step 5: Solve for x
    x = 4,994,954.55/2,542.55
  6. Step 6: Final answer
    x = 1,964.55

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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.