Home / 51,822.72-77,760-20,684.16

Finding the Fourth Proportional to 51,822.72, 77,760 and 20,684.16

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Solution

The fourth proportional to 51,822.72, 77,760 and 20,684.16 is: 31,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822.72 : 77,760 = 20,684.16 : x
  2. Step 2: Convert to fraction form
    51,822.72/77,760 = 20,684.16/x
  3. Step 3: Cross multiply
    51,822.72x = 77,760 × 20,684.16
  4. Step 4: Simplify right side
    51,822.72x = 1,608,400,281.60
  5. Step 5: Solve for x
    x = 1,608,400,281.60/51,822.72
  6. Step 6: Final answer
    x = 31,036.59

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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.