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Finding the Fourth Proportional to 3,903.44, 5,855.16 and 1,306.40

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Solution

The fourth proportional to 3,903.44, 5,855.16 and 1,306.40 is: 1,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.44 : 5,855.16 = 1,306.40 : x
  2. Step 2: Convert to fraction form
    3,903.44/5,855.16 = 1,306.40/x
  3. Step 3: Cross multiply
    3,903.44x = 5,855.16 × 1,306.40
  4. Step 4: Simplify right side
    3,903.44x = 7,649,181.02
  5. Step 5: Solve for x
    x = 7,649,181.02/3,903.44
  6. Step 6: Final answer
    x = 1,959.60

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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.