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Finding the Fourth Proportional to 30,047.50, 45,073.88 and 7,860.78

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Solution

The fourth proportional to 30,047.50, 45,073.88 and 7,860.78 is: 11,791.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.50 : 45,073.88 = 7,860.78 : x
  2. Step 2: Convert to fraction form
    30,047.50/45,073.88 = 7,860.78/x
  3. Step 3: Cross multiply
    30,047.50x = 45,073.88 × 7,860.78
  4. Step 4: Simplify right side
    30,047.50x = 354,315,854.43
  5. Step 5: Solve for x
    x = 354,315,854.43/30,047.50
  6. Step 6: Final answer
    x = 11,791.86

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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.