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Finding the Fourth Proportional to 6,291.77, 9,439.21 and 3,130.71

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Solution

The fourth proportional to 6,291.77, 9,439.21 and 3,130.71 is: 4,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.77 : 9,439.21 = 3,130.71 : x
  2. Step 2: Convert to fraction form
    6,291.77/9,439.21 = 3,130.71/x
  3. Step 3: Cross multiply
    6,291.77x = 9,439.21 × 3,130.71
  4. Step 4: Simplify right side
    6,291.77x = 29,551,380.05
  5. Step 5: Solve for x
    x = 29,551,380.05/6,291.77
  6. Step 6: Final answer
    x = 4,696.83

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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.