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Finding the Fourth Proportional to 2,315.54, 3,472.50 and 1,392.14

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Solution

The fourth proportional to 2,315.54, 3,472.50 and 1,392.14 is: 2,087.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.54 : 3,472.50 = 1,392.14 : x
  2. Step 2: Convert to fraction form
    2,315.54/3,472.50 = 1,392.14/x
  3. Step 3: Cross multiply
    2,315.54x = 3,472.50 × 1,392.14
  4. Step 4: Simplify right side
    2,315.54x = 4,834,206.15
  5. Step 5: Solve for x
    x = 4,834,206.15/2,315.54
  6. Step 6: Final answer
    x = 2,087.72

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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.