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Finding the Fourth Proportional to 25,765.70, 38,644.80 and 9,978.15

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Solution

The fourth proportional to 25,765.70, 38,644.80 and 9,978.15 is: 14,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.70 : 38,644.80 = 9,978.15 : x
  2. Step 2: Convert to fraction form
    25,765.70/38,644.80 = 9,978.15/x
  3. Step 3: Cross multiply
    25,765.70x = 38,644.80 × 9,978.15
  4. Step 4: Simplify right side
    25,765.70x = 385,603,718.62
  5. Step 5: Solve for x
    x = 385,603,718.62/25,765.70
  6. Step 6: Final answer
    x = 14,965.78

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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.