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Finding the Fourth Proportional to 20,690.76, 31,040.98 and 6,839.76

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Solution

The fourth proportional to 20,690.76, 31,040.98 and 6,839.76 is: 10,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690.76 : 31,040.98 = 6,839.76 : x
  2. Step 2: Convert to fraction form
    20,690.76/31,040.98 = 6,839.76/x
  3. Step 3: Cross multiply
    20,690.76x = 31,040.98 × 6,839.76
  4. Step 4: Simplify right side
    20,690.76x = 212,312,853.36
  5. Step 5: Solve for x
    x = 212,312,853.36/20,690.76
  6. Step 6: Final answer
    x = 10,261.24

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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.