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Finding the Fourth Proportional to 30,302.12, 45,452.50 and 8,115.50

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Solution

The fourth proportional to 30,302.12, 45,452.50 and 8,115.50 is: 12,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302.12 : 45,452.50 = 8,115.50 : x
  2. Step 2: Convert to fraction form
    30,302.12/45,452.50 = 8,115.50/x
  3. Step 3: Cross multiply
    30,302.12x = 45,452.50 × 8,115.50
  4. Step 4: Simplify right side
    30,302.12x = 368,869,763.75
  5. Step 5: Solve for x
    x = 368,869,763.75/30,302.12
  6. Step 6: Final answer
    x = 12,173.07

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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.