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Finding the Fourth Proportional to 6,404.12, 8,840.12 and 4,309.46

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Solution

The fourth proportional to 6,404.12, 8,840.12 and 4,309.46 is: 5,948.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.12 : 8,840.12 = 4,309.46 : x
  2. Step 2: Convert to fraction form
    6,404.12/8,840.12 = 4,309.46/x
  3. Step 3: Cross multiply
    6,404.12x = 8,840.12 × 4,309.46
  4. Step 4: Simplify right side
    6,404.12x = 38,096,143.54
  5. Step 5: Solve for x
    x = 38,096,143.54/6,404.12
  6. Step 6: Final answer
    x = 5,948.69

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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.