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Finding the Fourth Proportional to 25,754.64, 38,632.98 and 7,987.14

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Solution

The fourth proportional to 25,754.64, 38,632.98 and 7,987.14 is: 11,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754.64 : 38,632.98 = 7,987.14 : x
  2. Step 2: Convert to fraction form
    25,754.64/38,632.98 = 7,987.14/x
  3. Step 3: Cross multiply
    25,754.64x = 38,632.98 × 7,987.14
  4. Step 4: Simplify right side
    25,754.64x = 308,567,039.85
  5. Step 5: Solve for x
    x = 308,567,039.85/25,754.64
  6. Step 6: Final answer
    x = 11,981.03

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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.