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Finding the Fourth Proportional to 1,559.33, 2,151.65 and 969.65

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Solution

The fourth proportional to 1,559.33, 2,151.65 and 969.65 is: 1,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.33 : 2,151.65 = 969.65 : x
  2. Step 2: Convert to fraction form
    1,559.33/2,151.65 = 969.65/x
  3. Step 3: Cross multiply
    1,559.33x = 2,151.65 × 969.65
  4. Step 4: Simplify right side
    1,559.33x = 2,086,347.42
  5. Step 5: Solve for x
    x = 2,086,347.42/1,559.33
  6. Step 6: Final answer
    x = 1,337.98

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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.