Home / 1,567.89-2,163.66-869.25

Finding the Fourth Proportional to 1,567.89, 2,163.66 and 869.25

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Solution

The fourth proportional to 1,567.89, 2,163.66 and 869.25 is: 1,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.89 : 2,163.66 = 869.25 : x
  2. Step 2: Convert to fraction form
    1,567.89/2,163.66 = 869.25/x
  3. Step 3: Cross multiply
    1,567.89x = 2,163.66 × 869.25
  4. Step 4: Simplify right side
    1,567.89x = 1,880,761.46
  5. Step 5: Solve for x
    x = 1,880,761.46/1,567.89
  6. Step 6: Final answer
    x = 1,199.55

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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.