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Finding the Fourth Proportional to 3,926.40, 5,428.80 and 3,434.40

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Solution

The fourth proportional to 3,926.40, 5,428.80 and 3,434.40 is: 4,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.40 : 5,428.80 = 3,434.40 : x
  2. Step 2: Convert to fraction form
    3,926.40/5,428.80 = 3,434.40/x
  3. Step 3: Cross multiply
    3,926.40x = 5,428.80 × 3,434.40
  4. Step 4: Simplify right side
    3,926.40x = 18,644,670.72
  5. Step 5: Solve for x
    x = 18,644,670.72/3,926.40
  6. Step 6: Final answer
    x = 4,748.54

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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.