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Finding the Fourth Proportional to 30,587.42, 45,872.31 and 8,401.52

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Solution

The fourth proportional to 30,587.42, 45,872.31 and 8,401.52 is: 12,599.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587.42 : 45,872.31 = 8,401.52 : x
  2. Step 2: Convert to fraction form
    30,587.42/45,872.31 = 8,401.52/x
  3. Step 3: Cross multiply
    30,587.42x = 45,872.31 × 8,401.52
  4. Step 4: Simplify right side
    30,587.42x = 385,396,900.55
  5. Step 5: Solve for x
    x = 385,396,900.55/30,587.42
  6. Step 6: Final answer
    x = 12,599.85

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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.