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Finding the Fourth Proportional to 2,647.42, 3,650.63 and 1,972.19

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Solution

The fourth proportional to 2,647.42, 3,650.63 and 1,972.19 is: 2,719.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.42 : 3,650.63 = 1,972.19 : x
  2. Step 2: Convert to fraction form
    2,647.42/3,650.63 = 1,972.19/x
  3. Step 3: Cross multiply
    2,647.42x = 3,650.63 × 1,972.19
  4. Step 4: Simplify right side
    2,647.42x = 7,199,735.98
  5. Step 5: Solve for x
    x = 7,199,735.98/2,647.42
  6. Step 6: Final answer
    x = 2,719.53

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Half scale
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Double scale
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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.