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Finding the Fourth Proportional to 21,841.76, 32,762.62 and 5,425.76

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Solution

The fourth proportional to 21,841.76, 32,762.62 and 5,425.76 is: 8,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.76 : 32,762.62 = 5,425.76 : x
  2. Step 2: Convert to fraction form
    21,841.76/32,762.62 = 5,425.76/x
  3. Step 3: Cross multiply
    21,841.76x = 32,762.62 × 5,425.76
  4. Step 4: Simplify right side
    21,841.76x = 177,762,113.09
  5. Step 5: Solve for x
    x = 177,762,113.09/21,841.76
  6. Step 6: Final answer
    x = 8,138.64

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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.