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Finding the Fourth Proportional to 34,378.96, 47,451 and 22,421.47

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Solution

The fourth proportional to 34,378.96, 47,451 and 22,421.47 is: 30,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,378.96 : 47,451 = 22,421.47 : x
  2. Step 2: Convert to fraction form
    34,378.96/47,451 = 22,421.47/x
  3. Step 3: Cross multiply
    34,378.96x = 47,451 × 22,421.47
  4. Step 4: Simplify right side
    34,378.96x = 1,063,921,172.97
  5. Step 5: Solve for x
    x = 1,063,921,172.97/34,378.96
  6. Step 6: Final answer
    x = 30,946.87

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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.