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Finding the Fourth Proportional to 34,882, 48,151.12 and 21,458.64

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Solution

The fourth proportional to 34,882, 48,151.12 and 21,458.64 is: 29,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,882 : 48,151.12 = 21,458.64 : x
  2. Step 2: Convert to fraction form
    34,882/48,151.12 = 21,458.64/x
  3. Step 3: Cross multiply
    34,882x = 48,151.12 × 21,458.64
  4. Step 4: Simplify right side
    34,882x = 1,033,257,549.68
  5. Step 5: Solve for x
    x = 1,033,257,549.68/34,882
  6. Step 6: Final answer
    x = 29,621.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.