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Finding the Fourth Proportional to 7,739, 10,680.02 and 4,202.21

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Solution

The fourth proportional to 7,739, 10,680.02 and 4,202.21 is: 5,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739 : 10,680.02 = 4,202.21 : x
  2. Step 2: Convert to fraction form
    7,739/10,680.02 = 4,202.21/x
  3. Step 3: Cross multiply
    7,739x = 10,680.02 × 4,202.21
  4. Step 4: Simplify right side
    7,739x = 44,879,686.84
  5. Step 5: Solve for x
    x = 44,879,686.84/7,739
  6. Step 6: Final answer
    x = 5,799.16

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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.