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Finding the Fourth Proportional to 10,658.21, 15,985.41 and 2,865.20

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Solution

The fourth proportional to 10,658.21, 15,985.41 and 2,865.20 is: 4,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.21 : 15,985.41 = 2,865.20 : x
  2. Step 2: Convert to fraction form
    10,658.21/15,985.41 = 2,865.20/x
  3. Step 3: Cross multiply
    10,658.21x = 15,985.41 × 2,865.20
  4. Step 4: Simplify right side
    10,658.21x = 45,801,316.80
  5. Step 5: Solve for x
    x = 45,801,316.80/10,658.21
  6. Step 6: Final answer
    x = 4,297.28

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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.