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Finding the Fourth Proportional to 34,752.70, 47,959.02 and 20,408.80

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Solution

The fourth proportional to 34,752.70, 47,959.02 and 20,408.80 is: 28,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,752.70 : 47,959.02 = 20,408.80 : x
  2. Step 2: Convert to fraction form
    34,752.70/47,959.02 = 20,408.80/x
  3. Step 3: Cross multiply
    34,752.70x = 47,959.02 × 20,408.80
  4. Step 4: Simplify right side
    34,752.70x = 978,786,047.38
  5. Step 5: Solve for x
    x = 978,786,047.38/34,752.70
  6. Step 6: Final answer
    x = 28,164.32

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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.