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Finding the Fourth Proportional to 7,711.67, 11,567.51 and 1,868.29

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Solution

The fourth proportional to 7,711.67, 11,567.51 and 1,868.29 is: 2,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.67 : 11,567.51 = 1,868.29 : x
  2. Step 2: Convert to fraction form
    7,711.67/11,567.51 = 1,868.29/x
  3. Step 3: Cross multiply
    7,711.67x = 11,567.51 × 1,868.29
  4. Step 4: Simplify right side
    7,711.67x = 21,611,463.26
  5. Step 5: Solve for x
    x = 21,611,463.26/7,711.67
  6. Step 6: Final answer
    x = 2,802.44

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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.