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Finding the Fourth Proportional to 6,422.70, 9,634.05 and 4,454.40

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Solution

The fourth proportional to 6,422.70, 9,634.05 and 4,454.40 is: 6,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.70 : 9,634.05 = 4,454.40 : x
  2. Step 2: Convert to fraction form
    6,422.70/9,634.05 = 4,454.40/x
  3. Step 3: Cross multiply
    6,422.70x = 9,634.05 × 4,454.40
  4. Step 4: Simplify right side
    6,422.70x = 42,913,912.32
  5. Step 5: Solve for x
    x = 42,913,912.32/6,422.70
  6. Step 6: Final answer
    x = 6,681.60

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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.