Home / 10,306.40-15,458.16-3,380

Finding the Fourth Proportional to 10,306.40, 15,458.16 and 3,380

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Solution

The fourth proportional to 10,306.40, 15,458.16 and 3,380 is: 5,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,306.40 : 15,458.16 = 3,380 : x
  2. Step 2: Convert to fraction form
    10,306.40/15,458.16 = 3,380/x
  3. Step 3: Cross multiply
    10,306.40x = 15,458.16 × 3,380
  4. Step 4: Simplify right side
    10,306.40x = 52,248,580.80
  5. Step 5: Solve for x
    x = 52,248,580.80/10,306.40
  6. Step 6: Final answer
    x = 5,069.53

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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.