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Finding the Fourth Proportional to 1,692.65, 2,335.80 and 946.61

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Solution

The fourth proportional to 1,692.65, 2,335.80 and 946.61 is: 1,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.65 : 2,335.80 = 946.61 : x
  2. Step 2: Convert to fraction form
    1,692.65/2,335.80 = 946.61/x
  3. Step 3: Cross multiply
    1,692.65x = 2,335.80 × 946.61
  4. Step 4: Simplify right side
    1,692.65x = 2,211,091.64
  5. Step 5: Solve for x
    x = 2,211,091.64/1,692.65
  6. Step 6: Final answer
    x = 1,306.29

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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.