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Finding the Fourth Proportional to 7,408.96, 11,114.16 and 2,478.64

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Solution

The fourth proportional to 7,408.96, 11,114.16 and 2,478.64 is: 3,718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,408.96 : 11,114.16 = 2,478.64 : x
  2. Step 2: Convert to fraction form
    7,408.96/11,114.16 = 2,478.64/x
  3. Step 3: Cross multiply
    7,408.96x = 11,114.16 × 2,478.64
  4. Step 4: Simplify right side
    7,408.96x = 27,548,001.54
  5. Step 5: Solve for x
    x = 27,548,001.54/7,408.96
  6. Step 6: Final answer
    x = 3,718.20

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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.