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Finding the Fourth Proportional to 3,986.64, 5,509.15 and 2,990.19

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Solution

The fourth proportional to 3,986.64, 5,509.15 and 2,990.19 is: 4,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.64 : 5,509.15 = 2,990.19 : x
  2. Step 2: Convert to fraction form
    3,986.64/5,509.15 = 2,990.19/x
  3. Step 3: Cross multiply
    3,986.64x = 5,509.15 × 2,990.19
  4. Step 4: Simplify right side
    3,986.64x = 16,473,362.74
  5. Step 5: Solve for x
    x = 16,473,362.74/3,986.64
  6. Step 6: Final answer
    x = 4,132.14

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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.