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Finding the Fourth Proportional to 7,711.83, 11,567.79 and 1,868.46

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Solution

The fourth proportional to 7,711.83, 11,567.79 and 1,868.46 is: 2,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.83 : 11,567.79 = 1,868.46 : x
  2. Step 2: Convert to fraction form
    7,711.83/11,567.79 = 1,868.46/x
  3. Step 3: Cross multiply
    7,711.83x = 11,567.79 × 1,868.46
  4. Step 4: Simplify right side
    7,711.83x = 21,613,952.90
  5. Step 5: Solve for x
    x = 21,613,952.90/7,711.83
  6. Step 6: Final answer
    x = 2,802.70

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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.