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Finding the Fourth Proportional to 30,013.70, 45,019.35 and 7,524.32

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Solution

The fourth proportional to 30,013.70, 45,019.35 and 7,524.32 is: 11,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.70 : 45,019.35 = 7,524.32 : x
  2. Step 2: Convert to fraction form
    30,013.70/45,019.35 = 7,524.32/x
  3. Step 3: Cross multiply
    30,013.70x = 45,019.35 × 7,524.32
  4. Step 4: Simplify right side
    30,013.70x = 338,739,770.50
  5. Step 5: Solve for x
    x = 338,739,770.50/30,013.70
  6. Step 6: Final answer
    x = 11,286.17

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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.