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Finding the Fourth Proportional to 51,780, 71,456.40 and 28,228

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Solution

The fourth proportional to 51,780, 71,456.40 and 28,228 is: 38,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,780 : 71,456.40 = 28,228 : x
  2. Step 2: Convert to fraction form
    51,780/71,456.40 = 28,228/x
  3. Step 3: Cross multiply
    51,780x = 71,456.40 × 28,228
  4. Step 4: Simplify right side
    51,780x = 2,017,071,259.20
  5. Step 5: Solve for x
    x = 2,017,071,259.20/51,780
  6. Step 6: Final answer
    x = 38,954.64

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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.