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Finding the Fourth Proportional to 51,976, 77,976.99 and 15,040

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Solution

The fourth proportional to 51,976, 77,976.99 and 15,040 is: 22,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976 : 77,976.99 = 15,040 : x
  2. Step 2: Convert to fraction form
    51,976/77,976.99 = 15,040/x
  3. Step 3: Cross multiply
    51,976x = 77,976.99 × 15,040
  4. Step 4: Simplify right side
    51,976x = 1,172,773,929.60
  5. Step 5: Solve for x
    x = 1,172,773,929.60/51,976
  6. Step 6: Final answer
    x = 22,563.76

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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.