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Finding the Fourth Proportional to 11,181.10, 15,432.44 and 7,404.40

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Solution

The fourth proportional to 11,181.10, 15,432.44 and 7,404.40 is: 10,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.10 : 15,432.44 = 7,404.40 : x
  2. Step 2: Convert to fraction form
    11,181.10/15,432.44 = 7,404.40/x
  3. Step 3: Cross multiply
    11,181.10x = 15,432.44 × 7,404.40
  4. Step 4: Simplify right side
    11,181.10x = 114,267,958.74
  5. Step 5: Solve for x
    x = 114,267,958.74/11,181.10
  6. Step 6: Final answer
    x = 10,219.74

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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.