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Finding the Fourth Proportional to 2,384.34, 3,562.22 and 2,302.50

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Solution

The fourth proportional to 2,384.34, 3,562.22 and 2,302.50 is: 3,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.34 : 3,562.22 = 2,302.50 : x
  2. Step 2: Convert to fraction form
    2,384.34/3,562.22 = 2,302.50/x
  3. Step 3: Cross multiply
    2,384.34x = 3,562.22 × 2,302.50
  4. Step 4: Simplify right side
    2,384.34x = 8,202,000.04
  5. Step 5: Solve for x
    x = 8,202,000.04/2,384.34
  6. Step 6: Final answer
    x = 3,439.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.