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Finding the Fourth Proportional to 21,064.87, 31,597.21 and 8,582.11

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Solution

The fourth proportional to 21,064.87, 31,597.21 and 8,582.11 is: 12,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.87 : 31,597.21 = 8,582.11 : x
  2. Step 2: Convert to fraction form
    21,064.87/31,597.21 = 8,582.11/x
  3. Step 3: Cross multiply
    21,064.87x = 31,597.21 × 8,582.11
  4. Step 4: Simplify right side
    21,064.87x = 271,170,731.91
  5. Step 5: Solve for x
    x = 271,170,731.91/21,064.87
  6. Step 6: Final answer
    x = 12,873.13

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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.