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Finding the Fourth Proportional to 2,647.91, 3,652.16 and 1,703.05

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Solution

The fourth proportional to 2,647.91, 3,652.16 and 1,703.05 is: 2,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.91 : 3,652.16 = 1,703.05 : x
  2. Step 2: Convert to fraction form
    2,647.91/3,652.16 = 1,703.05/x
  3. Step 3: Cross multiply
    2,647.91x = 3,652.16 × 1,703.05
  4. Step 4: Simplify right side
    2,647.91x = 6,219,793.44
  5. Step 5: Solve for x
    x = 6,219,793.44/2,647.91
  6. Step 6: Final answer
    x = 2,348.94

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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.