Home / 13,780.38-20,538-13,758.54

Finding the Fourth Proportional to 13,780.38, 20,538 and 13,758.54

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Solution

The fourth proportional to 13,780.38, 20,538 and 13,758.54 is: 20,505.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.38 : 20,538 = 13,758.54 : x
  2. Step 2: Convert to fraction form
    13,780.38/20,538 = 13,758.54/x
  3. Step 3: Cross multiply
    13,780.38x = 20,538 × 13,758.54
  4. Step 4: Simplify right side
    13,780.38x = 282,572,894.52
  5. Step 5: Solve for x
    x = 282,572,894.52/13,780.38
  6. Step 6: Final answer
    x = 20,505.45

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1.5x scale

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.