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Finding the Fourth Proportional to 25,543.81, 38,315.68 and 8,015.00

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Solution

The fourth proportional to 25,543.81, 38,315.68 and 8,015.00 is: 12,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,543.81 : 38,315.68 = 8,015.00 : x
  2. Step 2: Convert to fraction form
    25,543.81/38,315.68 = 8,015.00/x
  3. Step 3: Cross multiply
    25,543.81x = 38,315.68 × 8,015.00
  4. Step 4: Simplify right side
    25,543.81x = 307,100,250.95
  5. Step 5: Solve for x
    x = 307,100,250.95/25,543.81
  6. Step 6: Final answer
    x = 12,022.49

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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.