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Finding the Fourth Proportional to 21,242.80, 31,878.06 and 8,095.29

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Solution

The fourth proportional to 21,242.80, 31,878.06 and 8,095.29 is: 12,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,242.80 : 31,878.06 = 8,095.29 : x
  2. Step 2: Convert to fraction form
    21,242.80/31,878.06 = 8,095.29/x
  3. Step 3: Cross multiply
    21,242.80x = 31,878.06 × 8,095.29
  4. Step 4: Simplify right side
    21,242.80x = 258,062,140.34
  5. Step 5: Solve for x
    x = 258,062,140.34/21,242.80
  6. Step 6: Final answer
    x = 12,148.22

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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.