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Finding the Fourth Proportional to 21,880.20, 32,820.76 and 7,841.14

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Solution

The fourth proportional to 21,880.20, 32,820.76 and 7,841.14 is: 11,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880.20 : 32,820.76 = 7,841.14 : x
  2. Step 2: Convert to fraction form
    21,880.20/32,820.76 = 7,841.14/x
  3. Step 3: Cross multiply
    21,880.20x = 32,820.76 × 7,841.14
  4. Step 4: Simplify right side
    21,880.20x = 257,352,174.07
  5. Step 5: Solve for x
    x = 257,352,174.07/21,880.20
  6. Step 6: Final answer
    x = 11,761.87

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1.5x scale

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.