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Finding the Fourth Proportional to 25,846.08, 38,760.96 and 8,312

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Solution

The fourth proportional to 25,846.08, 38,760.96 and 8,312 is: 12,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,846.08 : 38,760.96 = 8,312 : x
  2. Step 2: Convert to fraction form
    25,846.08/38,760.96 = 8,312/x
  3. Step 3: Cross multiply
    25,846.08x = 38,760.96 × 8,312
  4. Step 4: Simplify right side
    25,846.08x = 322,181,099.52
  5. Step 5: Solve for x
    x = 322,181,099.52/25,846.08
  6. Step 6: Final answer
    x = 12,465.38

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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.