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Finding the Fourth Proportional to 30,202.63, 45,306.15 and 8,015.50

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Solution

The fourth proportional to 30,202.63, 45,306.15 and 8,015.50 is: 12,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,202.63 : 45,306.15 = 8,015.50 : x
  2. Step 2: Convert to fraction form
    30,202.63/45,306.15 = 8,015.50/x
  3. Step 3: Cross multiply
    30,202.63x = 45,306.15 × 8,015.50
  4. Step 4: Simplify right side
    30,202.63x = 363,151,445.33
  5. Step 5: Solve for x
    x = 363,151,445.33/30,202.63
  6. Step 6: Final answer
    x = 12,023.84

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1.5x scale

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.