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Finding the Fourth Proportional to 8,271.77, 12,400.36 and 3,074

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Solution

The fourth proportional to 8,271.77, 12,400.36 and 3,074 is: 4,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.77 : 12,400.36 = 3,074 : x
  2. Step 2: Convert to fraction form
    8,271.77/12,400.36 = 3,074/x
  3. Step 3: Cross multiply
    8,271.77x = 12,400.36 × 3,074
  4. Step 4: Simplify right side
    8,271.77x = 38,118,706.64
  5. Step 5: Solve for x
    x = 38,118,706.64/8,271.77
  6. Step 6: Final answer
    x = 4,608.29

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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.