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Finding the Fourth Proportional to 2,705.63, 3,734.17 and 1,658.30

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Solution

The fourth proportional to 2,705.63, 3,734.17 and 1,658.30 is: 2,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.63 : 3,734.17 = 1,658.30 : x
  2. Step 2: Convert to fraction form
    2,705.63/3,734.17 = 1,658.30/x
  3. Step 3: Cross multiply
    2,705.63x = 3,734.17 × 1,658.30
  4. Step 4: Simplify right side
    2,705.63x = 6,192,351.29
  5. Step 5: Solve for x
    x = 6,192,351.29/2,705.63
  6. Step 6: Final answer
    x = 2,288.70

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1.5x scale

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.