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Finding the Fourth Proportional to 2,686.65, 3,707.80 and 1,567.66

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Solution

The fourth proportional to 2,686.65, 3,707.80 and 1,567.66 is: 2,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.65 : 3,707.80 = 1,567.66 : x
  2. Step 2: Convert to fraction form
    2,686.65/3,707.80 = 1,567.66/x
  3. Step 3: Cross multiply
    2,686.65x = 3,707.80 × 1,567.66
  4. Step 4: Simplify right side
    2,686.65x = 5,812,556.56
  5. Step 5: Solve for x
    x = 5,812,556.56/2,686.65
  6. Step 6: Final answer
    x = 2,163.50

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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.