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Finding the Fourth Proportional to 10,577, 15,862.30 and 3,180.84

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Solution

The fourth proportional to 10,577, 15,862.30 and 3,180.84 is: 4,770.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577 : 15,862.30 = 3,180.84 : x
  2. Step 2: Convert to fraction form
    10,577/15,862.30 = 3,180.84/x
  3. Step 3: Cross multiply
    10,577x = 15,862.30 × 3,180.84
  4. Step 4: Simplify right side
    10,577x = 50,455,438.33
  5. Step 5: Solve for x
    x = 50,455,438.33/10,577
  6. Step 6: Final answer
    x = 4,770.30

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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.