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Finding the Fourth Proportional to 7,807.80, 11,718.28 and 3,131.08

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Solution

The fourth proportional to 7,807.80, 11,718.28 and 3,131.08 is: 4,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.80 : 11,718.28 = 3,131.08 : x
  2. Step 2: Convert to fraction form
    7,807.80/11,718.28 = 3,131.08/x
  3. Step 3: Cross multiply
    7,807.80x = 11,718.28 × 3,131.08
  4. Step 4: Simplify right side
    7,807.80x = 36,690,872.14
  5. Step 5: Solve for x
    x = 36,690,872.14/7,807.80
  6. Step 6: Final answer
    x = 4,699.26

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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.