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Finding the Fourth Proportional to 30,311.91, 45,470.34 and 9,253.71

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Solution

The fourth proportional to 30,311.91, 45,470.34 and 9,253.71 is: 13,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,311.91 : 45,470.34 = 9,253.71 : x
  2. Step 2: Convert to fraction form
    30,311.91/45,470.34 = 9,253.71/x
  3. Step 3: Cross multiply
    30,311.91x = 45,470.34 × 9,253.71
  4. Step 4: Simplify right side
    30,311.91x = 420,769,339.96
  5. Step 5: Solve for x
    x = 420,769,339.96/30,311.91
  6. Step 6: Final answer
    x = 13,881.32

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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.