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Finding the Fourth Proportional to 32,947.20, 49,420.80 and 21,137.40

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Solution

The fourth proportional to 32,947.20, 49,420.80 and 21,137.40 is: 31,706.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.20 : 49,420.80 = 21,137.40 : x
  2. Step 2: Convert to fraction form
    32,947.20/49,420.80 = 21,137.40/x
  3. Step 3: Cross multiply
    32,947.20x = 49,420.80 × 21,137.40
  4. Step 4: Simplify right side
    32,947.20x = 1,044,627,217.92
  5. Step 5: Solve for x
    x = 1,044,627,217.92/32,947.20
  6. Step 6: Final answer
    x = 31,706.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.