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Finding the Fourth Proportional to 6,422.42, 9,626.88 and 3,130.94

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Solution

The fourth proportional to 6,422.42, 9,626.88 and 3,130.94 is: 4,693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.42 : 9,626.88 = 3,130.94 : x
  2. Step 2: Convert to fraction form
    6,422.42/9,626.88 = 3,130.94/x
  3. Step 3: Cross multiply
    6,422.42x = 9,626.88 × 3,130.94
  4. Step 4: Simplify right side
    6,422.42x = 30,141,183.67
  5. Step 5: Solve for x
    x = 30,141,183.67/6,422.42
  6. Step 6: Final answer
    x = 4,693.12

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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.