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Finding the Fourth Proportional to 25,641.16, 38,461.46 and 8,111

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Solution

The fourth proportional to 25,641.16, 38,461.46 and 8,111 is: 12,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,641.16 : 38,461.46 = 8,111 : x
  2. Step 2: Convert to fraction form
    25,641.16/38,461.46 = 8,111/x
  3. Step 3: Cross multiply
    25,641.16x = 38,461.46 × 8,111
  4. Step 4: Simplify right side
    25,641.16x = 311,960,902.06
  5. Step 5: Solve for x
    x = 311,960,902.06/25,641.16
  6. Step 6: Final answer
    x = 12,166.41

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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.