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Finding the Fourth Proportional to 51,351.52, 70,862.56 and 28,686

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Solution

The fourth proportional to 51,351.52, 70,862.56 and 28,686 is: 39,585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,351.52 : 70,862.56 = 28,686 : x
  2. Step 2: Convert to fraction form
    51,351.52/70,862.56 = 28,686/x
  3. Step 3: Cross multiply
    51,351.52x = 70,862.56 × 28,686
  4. Step 4: Simplify right side
    51,351.52x = 2,032,763,396.16
  5. Step 5: Solve for x
    x = 2,032,763,396.16/51,351.52
  6. Step 6: Final answer
    x = 39,585.26

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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.