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Finding the Fourth Proportional to 25,756.47, 38,640.24 and 7,986.75

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Solution

The fourth proportional to 25,756.47, 38,640.24 and 7,986.75 is: 11,981.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756.47 : 38,640.24 = 7,986.75 : x
  2. Step 2: Convert to fraction form
    25,756.47/38,640.24 = 7,986.75/x
  3. Step 3: Cross multiply
    25,756.47x = 38,640.24 × 7,986.75
  4. Step 4: Simplify right side
    25,756.47x = 308,609,996.38
  5. Step 5: Solve for x
    x = 308,609,996.38/25,756.47
  6. Step 6: Final answer
    x = 11,981.84

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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.