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Finding the Fourth Proportional to 2,912.64, 4,019.40 and 2,492.40

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Solution

The fourth proportional to 2,912.64, 4,019.40 and 2,492.40 is: 3,439.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.64 : 4,019.40 = 2,492.40 : x
  2. Step 2: Convert to fraction form
    2,912.64/4,019.40 = 2,492.40/x
  3. Step 3: Cross multiply
    2,912.64x = 4,019.40 × 2,492.40
  4. Step 4: Simplify right side
    2,912.64x = 10,017,952.56
  5. Step 5: Solve for x
    x = 10,017,952.56/2,912.64
  6. Step 6: Final answer
    x = 3,439.48

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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.