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Finding the Fourth Proportional to 7,570.26, 10,438.02 and 5,181.39

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Solution

The fourth proportional to 7,570.26, 10,438.02 and 5,181.39 is: 7,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.26 : 10,438.02 = 5,181.39 : x
  2. Step 2: Convert to fraction form
    7,570.26/10,438.02 = 5,181.39/x
  3. Step 3: Cross multiply
    7,570.26x = 10,438.02 × 5,181.39
  4. Step 4: Simplify right side
    7,570.26x = 54,083,452.45
  5. Step 5: Solve for x
    x = 54,083,452.45/7,570.26
  6. Step 6: Final answer
    x = 7,144.20

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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.