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Finding the Fourth Proportional to 3,986.47, 5,979.30 and 1,065.07

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Solution

The fourth proportional to 3,986.47, 5,979.30 and 1,065.07 is: 1,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.47 : 5,979.30 = 1,065.07 : x
  2. Step 2: Convert to fraction form
    3,986.47/5,979.30 = 1,065.07/x
  3. Step 3: Cross multiply
    3,986.47x = 5,979.30 × 1,065.07
  4. Step 4: Simplify right side
    3,986.47x = 6,368,373.05
  5. Step 5: Solve for x
    x = 6,368,373.05/3,986.47
  6. Step 6: Final answer
    x = 1,597.50

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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.