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Finding the Fourth Proportional to 8,186.04, 12,271.44 and 2,988

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Solution

The fourth proportional to 8,186.04, 12,271.44 and 2,988 is: 4,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.04 : 12,271.44 = 2,988 : x
  2. Step 2: Convert to fraction form
    8,186.04/12,271.44 = 2,988/x
  3. Step 3: Cross multiply
    8,186.04x = 12,271.44 × 2,988
  4. Step 4: Simplify right side
    8,186.04x = 36,667,062.72
  5. Step 5: Solve for x
    x = 36,667,062.72/8,186.04
  6. Step 6: Final answer
    x = 4,479.22

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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.