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Finding the Fourth Proportional to 34,392.84, 47,470.56 and 20,971.50

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Solution

The fourth proportional to 34,392.84, 47,470.56 and 20,971.50 is: 28,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,392.84 : 47,470.56 = 20,971.50 : x
  2. Step 2: Convert to fraction form
    34,392.84/47,470.56 = 20,971.50/x
  3. Step 3: Cross multiply
    34,392.84x = 47,470.56 × 20,971.50
  4. Step 4: Simplify right side
    34,392.84x = 995,528,849.04
  5. Step 5: Solve for x
    x = 995,528,849.04/34,392.84
  6. Step 6: Final answer
    x = 28,945.82

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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.