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Finding the Fourth Proportional to 4,661.39, 6,991.86 and 1,739.47

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Solution

The fourth proportional to 4,661.39, 6,991.86 and 1,739.47 is: 2,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.39 : 6,991.86 = 1,739.47 : x
  2. Step 2: Convert to fraction form
    4,661.39/6,991.86 = 1,739.47/x
  3. Step 3: Cross multiply
    4,661.39x = 6,991.86 × 1,739.47
  4. Step 4: Simplify right side
    4,661.39x = 12,162,130.71
  5. Step 5: Solve for x
    x = 12,162,130.71/4,661.39
  6. Step 6: Final answer
    x = 2,609.12

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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.