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Finding the Fourth Proportional to 52,013.40, 71,778.40 and 28,140

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Solution

The fourth proportional to 52,013.40, 71,778.40 and 28,140 is: 38,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013.40 : 71,778.40 = 28,140 : x
  2. Step 2: Convert to fraction form
    52,013.40/71,778.40 = 28,140/x
  3. Step 3: Cross multiply
    52,013.40x = 71,778.40 × 28,140
  4. Step 4: Simplify right side
    52,013.40x = 2,019,844,176.00
  5. Step 5: Solve for x
    x = 2,019,844,176.00/52,013.40
  6. Step 6: Final answer
    x = 38,833.15

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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.