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Finding the Fourth Proportional to 2,079.63, 3,118.23 and 692.61

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Solution

The fourth proportional to 2,079.63, 3,118.23 and 692.61 is: 1,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.63 : 3,118.23 = 692.61 : x
  2. Step 2: Convert to fraction form
    2,079.63/3,118.23 = 692.61/x
  3. Step 3: Cross multiply
    2,079.63x = 3,118.23 × 692.61
  4. Step 4: Simplify right side
    2,079.63x = 2,159,717.28
  5. Step 5: Solve for x
    x = 2,159,717.28/2,079.63
  6. Step 6: Final answer
    x = 1,038.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.