Home / 15,766.92-23,640.84-13,428

Finding the Fourth Proportional to 15,766.92, 23,640.84 and 13,428

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Solution

The fourth proportional to 15,766.92, 23,640.84 and 13,428 is: 20,133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,766.92 : 23,640.84 = 13,428 : x
  2. Step 2: Convert to fraction form
    15,766.92/23,640.84 = 13,428/x
  3. Step 3: Cross multiply
    15,766.92x = 23,640.84 × 13,428
  4. Step 4: Simplify right side
    15,766.92x = 317,449,199.52
  5. Step 5: Solve for x
    x = 317,449,199.52/15,766.92
  6. Step 6: Final answer
    x = 20,133.88

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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.