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Finding the Fourth Proportional to 21,934.20, 32,852.70 and 8,779.80

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Solution

The fourth proportional to 21,934.20, 32,852.70 and 8,779.80 is: 13,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.20 : 32,852.70 = 8,779.80 : x
  2. Step 2: Convert to fraction form
    21,934.20/32,852.70 = 8,779.80/x
  3. Step 3: Cross multiply
    21,934.20x = 32,852.70 × 8,779.80
  4. Step 4: Simplify right side
    21,934.20x = 288,440,135.46
  5. Step 5: Solve for x
    x = 288,440,135.46/21,934.20
  6. Step 6: Final answer
    x = 13,150.25

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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.