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Finding the Fourth Proportional to 5,410.44, 8,115.64 and 1,306.44

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Solution

The fourth proportional to 5,410.44, 8,115.64 and 1,306.44 is: 1,959.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.44 : 8,115.64 = 1,306.44 : x
  2. Step 2: Convert to fraction form
    5,410.44/8,115.64 = 1,306.44/x
  3. Step 3: Cross multiply
    5,410.44x = 8,115.64 × 1,306.44
  4. Step 4: Simplify right side
    5,410.44x = 10,602,596.72
  5. Step 5: Solve for x
    x = 10,602,596.72/5,410.44
  6. Step 6: Final answer
    x = 1,959.66

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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.