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Finding the Fourth Proportional to 7,181.91, 9,914.40 and 5,297.40

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Solution

The fourth proportional to 7,181.91, 9,914.40 and 5,297.40 is: 7,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.91 : 9,914.40 = 5,297.40 : x
  2. Step 2: Convert to fraction form
    7,181.91/9,914.40 = 5,297.40/x
  3. Step 3: Cross multiply
    7,181.91x = 9,914.40 × 5,297.40
  4. Step 4: Simplify right side
    7,181.91x = 52,520,542.56
  5. Step 5: Solve for x
    x = 52,520,542.56/7,181.91
  6. Step 6: Final answer
    x = 7,312.89

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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.