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Finding the Fourth Proportional to 2,543.82, 3,508.11 and 1,658.67

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Solution

The fourth proportional to 2,543.82, 3,508.11 and 1,658.67 is: 2,287.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.82 : 3,508.11 = 1,658.67 : x
  2. Step 2: Convert to fraction form
    2,543.82/3,508.11 = 1,658.67/x
  3. Step 3: Cross multiply
    2,543.82x = 3,508.11 × 1,658.67
  4. Step 4: Simplify right side
    2,543.82x = 5,818,796.81
  5. Step 5: Solve for x
    x = 5,818,796.81/2,543.82
  6. Step 6: Final answer
    x = 2,287.42

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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.