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Finding the Fourth Proportional to 34,392.20, 47,464 and 20,247.80

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Solution

The fourth proportional to 34,392.20, 47,464 and 20,247.80 is: 27,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,392.20 : 47,464 = 20,247.80 : x
  2. Step 2: Convert to fraction form
    34,392.20/47,464 = 20,247.80/x
  3. Step 3: Cross multiply
    34,392.20x = 47,464 × 20,247.80
  4. Step 4: Simplify right side
    34,392.20x = 961,041,579.20
  5. Step 5: Solve for x
    x = 961,041,579.20/34,392.20
  6. Step 6: Final answer
    x = 27,943.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.