Home / 8,166-12,252.24-2,972.32

Finding the Fourth Proportional to 8,166, 12,252.24 and 2,972.32

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Solution

The fourth proportional to 8,166, 12,252.24 and 2,972.32 is: 4,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166 : 12,252.24 = 2,972.32 : x
  2. Step 2: Convert to fraction form
    8,166/12,252.24 = 2,972.32/x
  3. Step 3: Cross multiply
    8,166x = 12,252.24 × 2,972.32
  4. Step 4: Simplify right side
    8,166x = 36,417,578.00
  5. Step 5: Solve for x
    x = 36,417,578.00/8,166
  6. Step 6: Final answer
    x = 4,459.66

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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.