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Finding the Fourth Proportional to 8,396, 12,595.44 and 2,553.20

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Solution

The fourth proportional to 8,396, 12,595.44 and 2,553.20 is: 3,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396 : 12,595.44 = 2,553.20 : x
  2. Step 2: Convert to fraction form
    8,396/12,595.44 = 2,553.20/x
  3. Step 3: Cross multiply
    8,396x = 12,595.44 × 2,553.20
  4. Step 4: Simplify right side
    8,396x = 32,158,677.41
  5. Step 5: Solve for x
    x = 32,158,677.41/8,396
  6. Step 6: Final answer
    x = 3,830.24

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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.