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Finding the Fourth Proportional to 6,964.29, 9,618.84 and 4,722.21

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Solution

The fourth proportional to 6,964.29, 9,618.84 and 4,722.21 is: 6,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.29 : 9,618.84 = 4,722.21 : x
  2. Step 2: Convert to fraction form
    6,964.29/9,618.84 = 4,722.21/x
  3. Step 3: Cross multiply
    6,964.29x = 9,618.84 × 4,722.21
  4. Step 4: Simplify right side
    6,964.29x = 45,422,182.44
  5. Step 5: Solve for x
    x = 45,422,182.44/6,964.29
  6. Step 6: Final answer
    x = 6,522.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.