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Finding the Fourth Proportional to 30,589.62, 45,882.78 and 9,811.50

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Solution

The fourth proportional to 30,589.62, 45,882.78 and 9,811.50 is: 14,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.62 : 45,882.78 = 9,811.50 : x
  2. Step 2: Convert to fraction form
    30,589.62/45,882.78 = 9,811.50/x
  3. Step 3: Cross multiply
    30,589.62x = 45,882.78 × 9,811.50
  4. Step 4: Simplify right side
    30,589.62x = 450,178,895.97
  5. Step 5: Solve for x
    x = 450,178,895.97/30,589.62
  6. Step 6: Final answer
    x = 14,716.72

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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.