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Finding the Fourth Proportional to 21,920.76, 32,894.10 and 8,079.48

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Solution

The fourth proportional to 21,920.76, 32,894.10 and 8,079.48 is: 12,124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,920.76 : 32,894.10 = 8,079.48 : x
  2. Step 2: Convert to fraction form
    21,920.76/32,894.10 = 8,079.48/x
  3. Step 3: Cross multiply
    21,920.76x = 32,894.10 × 8,079.48
  4. Step 4: Simplify right side
    21,920.76x = 265,767,223.07
  5. Step 5: Solve for x
    x = 265,767,223.07/21,920.76
  6. Step 6: Final answer
    x = 12,124.00

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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.