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Finding the Fourth Proportional to 4,642.20, 6,915.06 and 4,390.70

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Solution

The fourth proportional to 4,642.20, 6,915.06 and 4,390.70 is: 6,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.20 : 6,915.06 = 4,390.70 : x
  2. Step 2: Convert to fraction form
    4,642.20/6,915.06 = 4,390.70/x
  3. Step 3: Cross multiply
    4,642.20x = 6,915.06 × 4,390.70
  4. Step 4: Simplify right side
    4,642.20x = 30,361,919.37
  5. Step 5: Solve for x
    x = 30,361,919.37/4,642.20
  6. Step 6: Final answer
    x = 6,540.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.