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Finding the Fourth Proportional to 5,384.28, 7,431 and 3,026.42

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Solution

The fourth proportional to 5,384.28, 7,431 and 3,026.42 is: 4,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.28 : 7,431 = 3,026.42 : x
  2. Step 2: Convert to fraction form
    5,384.28/7,431 = 3,026.42/x
  3. Step 3: Cross multiply
    5,384.28x = 7,431 × 3,026.42
  4. Step 4: Simplify right side
    5,384.28x = 22,489,327.02
  5. Step 5: Solve for x
    x = 22,489,327.02/5,384.28
  6. Step 6: Final answer
    x = 4,176.85

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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.