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Finding the Fourth Proportional to 6,281.39, 9,422.15 and 1,664.39

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Solution

The fourth proportional to 6,281.39, 9,422.15 and 1,664.39 is: 2,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.39 : 9,422.15 = 1,664.39 : x
  2. Step 2: Convert to fraction form
    6,281.39/9,422.15 = 1,664.39/x
  3. Step 3: Cross multiply
    6,281.39x = 9,422.15 × 1,664.39
  4. Step 4: Simplify right side
    6,281.39x = 15,682,123.92
  5. Step 5: Solve for x
    x = 15,682,123.92/6,281.39
  6. Step 6: Final answer
    x = 2,496.60

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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.