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Finding the Fourth Proportional to 21,077.79, 31,616.67 and 6,849.12

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Solution

The fourth proportional to 21,077.79, 31,616.67 and 6,849.12 is: 10,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.79 : 31,616.67 = 6,849.12 : x
  2. Step 2: Convert to fraction form
    21,077.79/31,616.67 = 6,849.12/x
  3. Step 3: Cross multiply
    21,077.79x = 31,616.67 × 6,849.12
  4. Step 4: Simplify right side
    21,077.79x = 216,546,366.83
  5. Step 5: Solve for x
    x = 216,546,366.83/21,077.79
  6. Step 6: Final answer
    x = 10,273.68

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1.5x scale

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.