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Finding the Fourth Proportional to 38,400.40, 57,503.40 and 30,624.40

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Solution

The fourth proportional to 38,400.40, 57,503.40 and 30,624.40 is: 45,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.40 : 57,503.40 = 30,624.40 : x
  2. Step 2: Convert to fraction form
    38,400.40/57,503.40 = 30,624.40/x
  3. Step 3: Cross multiply
    38,400.40x = 57,503.40 × 30,624.40
  4. Step 4: Simplify right side
    38,400.40x = 1,761,007,122.96
  5. Step 5: Solve for x
    x = 1,761,007,122.96/38,400.40
  6. Step 6: Final answer
    x = 45,859.08

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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.