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Finding the Fourth Proportional to 7,454.40, 11,181.24 and 2,774.40

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Solution

The fourth proportional to 7,454.40, 11,181.24 and 2,774.40 is: 4,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.40 : 11,181.24 = 2,774.40 : x
  2. Step 2: Convert to fraction form
    7,454.40/11,181.24 = 2,774.40/x
  3. Step 3: Cross multiply
    7,454.40x = 11,181.24 × 2,774.40
  4. Step 4: Simplify right side
    7,454.40x = 31,021,232.26
  5. Step 5: Solve for x
    x = 31,021,232.26/7,454.40
  6. Step 6: Final answer
    x = 4,161.47

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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.