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Finding the Fourth Proportional to 25,784.62, 38,679.36 and 8,250.28

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Solution

The fourth proportional to 25,784.62, 38,679.36 and 8,250.28 is: 12,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.62 : 38,679.36 = 8,250.28 : x
  2. Step 2: Convert to fraction form
    25,784.62/38,679.36 = 8,250.28/x
  3. Step 3: Cross multiply
    25,784.62x = 38,679.36 × 8,250.28
  4. Step 4: Simplify right side
    25,784.62x = 319,115,550.22
  5. Step 5: Solve for x
    x = 319,115,550.22/25,784.62
  6. Step 6: Final answer
    x = 12,376.20

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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.