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Finding the Fourth Proportional to 6,903.78, 9,526.89 and 3,919.21

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Solution

The fourth proportional to 6,903.78, 9,526.89 and 3,919.21 is: 5,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903.78 : 9,526.89 = 3,919.21 : x
  2. Step 2: Convert to fraction form
    6,903.78/9,526.89 = 3,919.21/x
  3. Step 3: Cross multiply
    6,903.78x = 9,526.89 × 3,919.21
  4. Step 4: Simplify right side
    6,903.78x = 37,337,889.21
  5. Step 5: Solve for x
    x = 37,337,889.21/6,903.78
  6. Step 6: Final answer
    x = 5,408.32

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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.