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Finding the Fourth Proportional to 51,976.32, 77,976 and 28,590.72

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Solution

The fourth proportional to 51,976.32, 77,976 and 28,590.72 is: 42,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976.32 : 77,976 = 28,590.72 : x
  2. Step 2: Convert to fraction form
    51,976.32/77,976 = 28,590.72/x
  3. Step 3: Cross multiply
    51,976.32x = 77,976 × 28,590.72
  4. Step 4: Simplify right side
    51,976.32x = 2,229,389,982.72
  5. Step 5: Solve for x
    x = 2,229,389,982.72/51,976.32
  6. Step 6: Final answer
    x = 42,892.42

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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.