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Finding the Fourth Proportional to 7,131.98, 9,844.84 and 6,384.56

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Solution

The fourth proportional to 7,131.98, 9,844.84 and 6,384.56 is: 8,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.98 : 9,844.84 = 6,384.56 : x
  2. Step 2: Convert to fraction form
    7,131.98/9,844.84 = 6,384.56/x
  3. Step 3: Cross multiply
    7,131.98x = 9,844.84 × 6,384.56
  4. Step 4: Simplify right side
    7,131.98x = 62,854,930.43
  5. Step 5: Solve for x
    x = 62,854,930.43/7,131.98
  6. Step 6: Final answer
    x = 8,813.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.