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Finding the Fourth Proportional to 2,972.84, 4,462.50 and 2,190.42

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Solution

The fourth proportional to 2,972.84, 4,462.50 and 2,190.42 is: 3,288.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.84 : 4,462.50 = 2,190.42 : x
  2. Step 2: Convert to fraction form
    2,972.84/4,462.50 = 2,190.42/x
  3. Step 3: Cross multiply
    2,972.84x = 4,462.50 × 2,190.42
  4. Step 4: Simplify right side
    2,972.84x = 9,774,749.25
  5. Step 5: Solve for x
    x = 9,774,749.25/2,972.84
  6. Step 6: Final answer
    x = 3,288.02

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1.5x scale

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.