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Finding the Fourth Proportional to 1,569.81, 2,166.29 and 861.65

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Solution

The fourth proportional to 1,569.81, 2,166.29 and 861.65 is: 1,189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.81 : 2,166.29 = 861.65 : x
  2. Step 2: Convert to fraction form
    1,569.81/2,166.29 = 861.65/x
  3. Step 3: Cross multiply
    1,569.81x = 2,166.29 × 861.65
  4. Step 4: Simplify right side
    1,569.81x = 1,866,587.89
  5. Step 5: Solve for x
    x = 1,866,587.89/1,569.81
  6. Step 6: Final answer
    x = 1,189.05

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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.