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Finding the Fourth Proportional to 2,246.40, 3,056.40 and 2,246.40

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Solution

The fourth proportional to 2,246.40, 3,056.40 and 2,246.40 is: 3,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.40 : 3,056.40 = 2,246.40 : x
  2. Step 2: Convert to fraction form
    2,246.40/3,056.40 = 2,246.40/x
  3. Step 3: Cross multiply
    2,246.40x = 3,056.40 × 2,246.40
  4. Step 4: Simplify right side
    2,246.40x = 6,865,896.96
  5. Step 5: Solve for x
    x = 6,865,896.96/2,246.40
  6. Step 6: Final answer
    x = 3,056.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.