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Finding the Fourth Proportional to 25,780.54, 38,658.54 and 9,992.98

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Solution

The fourth proportional to 25,780.54, 38,658.54 and 9,992.98 is: 14,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.54 : 38,658.54 = 9,992.98 : x
  2. Step 2: Convert to fraction form
    25,780.54/38,658.54 = 9,992.98/x
  3. Step 3: Cross multiply
    25,780.54x = 38,658.54 × 9,992.98
  4. Step 4: Simplify right side
    25,780.54x = 386,314,017.05
  5. Step 5: Solve for x
    x = 386,314,017.05/25,780.54
  6. Step 6: Final answer
    x = 14,984.71

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1.5x scale

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.