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Finding the Fourth Proportional to 7,739.82, 10,681.02 and 4,203.18

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Solution

The fourth proportional to 7,739.82, 10,681.02 and 4,203.18 is: 5,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.82 : 10,681.02 = 4,203.18 : x
  2. Step 2: Convert to fraction form
    7,739.82/10,681.02 = 4,203.18/x
  3. Step 3: Cross multiply
    7,739.82x = 10,681.02 × 4,203.18
  4. Step 4: Simplify right side
    7,739.82x = 44,894,249.64
  5. Step 5: Solve for x
    x = 44,894,249.64/7,739.82
  6. Step 6: Final answer
    x = 5,800.43

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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.