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Finding the Fourth Proportional to 2,151.71, 3,225.23 and 903.11

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Solution

The fourth proportional to 2,151.71, 3,225.23 and 903.11 is: 1,353.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.71 : 3,225.23 = 903.11 : x
  2. Step 2: Convert to fraction form
    2,151.71/3,225.23 = 903.11/x
  3. Step 3: Cross multiply
    2,151.71x = 3,225.23 × 903.11
  4. Step 4: Simplify right side
    2,151.71x = 2,912,737.47
  5. Step 5: Solve for x
    x = 2,912,737.47/2,151.71
  6. Step 6: Final answer
    x = 1,353.68

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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.