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Finding the Fourth Proportional to 5,428.66, 8,133.92 and 5,226.42

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Solution

The fourth proportional to 5,428.66, 8,133.92 and 5,226.42 is: 7,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.66 : 8,133.92 = 5,226.42 : x
  2. Step 2: Convert to fraction form
    5,428.66/8,133.92 = 5,226.42/x
  3. Step 3: Cross multiply
    5,428.66x = 8,133.92 × 5,226.42
  4. Step 4: Simplify right side
    5,428.66x = 42,511,282.17
  5. Step 5: Solve for x
    x = 42,511,282.17/5,428.66
  6. Step 6: Final answer
    x = 7,830.90

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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.