Home / 10,306.50-15,459.78-3,381

Finding the Fourth Proportional to 10,306.50, 15,459.78 and 3,381

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Solution

The fourth proportional to 10,306.50, 15,459.78 and 3,381 is: 5,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.50 : 15,459.78 = 3,381 : x
  2. Step 2: Convert to fraction form
    10,306.50/15,459.78 = 3,381/x
  3. Step 3: Cross multiply
    10,306.50x = 15,459.78 × 3,381
  4. Step 4: Simplify right side
    10,306.50x = 52,269,516.18
  5. Step 5: Solve for x
    x = 52,269,516.18/10,306.50
  6. Step 6: Final answer
    x = 5,071.51

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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.