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Finding the Fourth Proportional to 7,187.70, 10,781.55 and 5,438.10

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Solution

The fourth proportional to 7,187.70, 10,781.55 and 5,438.10 is: 8,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.70 : 10,781.55 = 5,438.10 : x
  2. Step 2: Convert to fraction form
    7,187.70/10,781.55 = 5,438.10/x
  3. Step 3: Cross multiply
    7,187.70x = 10,781.55 × 5,438.10
  4. Step 4: Simplify right side
    7,187.70x = 58,631,147.06
  5. Step 5: Solve for x
    x = 58,631,147.06/7,187.70
  6. Step 6: Final answer
    x = 8,157.15

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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.