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Finding the Fourth Proportional to 34,401.60, 47,478.60 and 20,255.76

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Solution

The fourth proportional to 34,401.60, 47,478.60 and 20,255.76 is: 27,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,401.60 : 47,478.60 = 20,255.76 : x
  2. Step 2: Convert to fraction form
    34,401.60/47,478.60 = 20,255.76/x
  3. Step 3: Cross multiply
    34,401.60x = 47,478.60 × 20,255.76
  4. Step 4: Simplify right side
    34,401.60x = 961,715,126.74
  5. Step 5: Solve for x
    x = 961,715,126.74/34,401.60
  6. Step 6: Final answer
    x = 27,955.53

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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.