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Finding the Fourth Proportional to 25,632.64, 38,449.28 and 8,104

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Solution

The fourth proportional to 25,632.64, 38,449.28 and 8,104 is: 12,156.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,632.64 : 38,449.28 = 8,104 : x
  2. Step 2: Convert to fraction form
    25,632.64/38,449.28 = 8,104/x
  3. Step 3: Cross multiply
    25,632.64x = 38,449.28 × 8,104
  4. Step 4: Simplify right side
    25,632.64x = 311,592,965.12
  5. Step 5: Solve for x
    x = 311,592,965.12/25,632.64
  6. Step 6: Final answer
    x = 12,156.10

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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.