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Finding the Fourth Proportional to 1,569.98, 2,166.62 and 861.87

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Solution

The fourth proportional to 1,569.98, 2,166.62 and 861.87 is: 1,189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.98 : 2,166.62 = 861.87 : x
  2. Step 2: Convert to fraction form
    1,569.98/2,166.62 = 861.87/x
  3. Step 3: Cross multiply
    1,569.98x = 2,166.62 × 861.87
  4. Step 4: Simplify right side
    1,569.98x = 1,867,340.47
  5. Step 5: Solve for x
    x = 1,867,340.47/1,569.98
  6. Step 6: Final answer
    x = 1,189.41

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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.