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Finding the Fourth Proportional to 8,271.66, 12,400.16 and 3,073.90

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Solution

The fourth proportional to 8,271.66, 12,400.16 and 3,073.90 is: 4,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.66 : 12,400.16 = 3,073.90 : x
  2. Step 2: Convert to fraction form
    8,271.66/12,400.16 = 3,073.90/x
  3. Step 3: Cross multiply
    8,271.66x = 12,400.16 × 3,073.90
  4. Step 4: Simplify right side
    8,271.66x = 38,116,851.82
  5. Step 5: Solve for x
    x = 38,116,851.82/8,271.66
  6. Step 6: Final answer
    x = 4,608.13

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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.