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Finding the Fourth Proportional to 20,959.30, 31,442.83 and 6,920.31

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Solution

The fourth proportional to 20,959.30, 31,442.83 and 6,920.31 is: 10,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959.30 : 31,442.83 = 6,920.31 : x
  2. Step 2: Convert to fraction form
    20,959.30/31,442.83 = 6,920.31/x
  3. Step 3: Cross multiply
    20,959.30x = 31,442.83 × 6,920.31
  4. Step 4: Simplify right side
    20,959.30x = 217,593,973.66
  5. Step 5: Solve for x
    x = 217,593,973.66/20,959.30
  6. Step 6: Final answer
    x = 10,381.74

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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.