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Finding the Fourth Proportional to 2,542.07, 3,812.64 and 898.62

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Solution

The fourth proportional to 2,542.07, 3,812.64 and 898.62 is: 1,347.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.07 : 3,812.64 = 898.62 : x
  2. Step 2: Convert to fraction form
    2,542.07/3,812.64 = 898.62/x
  3. Step 3: Cross multiply
    2,542.07x = 3,812.64 × 898.62
  4. Step 4: Simplify right side
    2,542.07x = 3,426,114.56
  5. Step 5: Solve for x
    x = 3,426,114.56/2,542.07
  6. Step 6: Final answer
    x = 1,347.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.