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Finding the Fourth Proportional to 2,226.19, 3,339.76 and 666.32

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Solution

The fourth proportional to 2,226.19, 3,339.76 and 666.32 is: 999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.19 : 3,339.76 = 666.32 : x
  2. Step 2: Convert to fraction form
    2,226.19/3,339.76 = 666.32/x
  3. Step 3: Cross multiply
    2,226.19x = 3,339.76 × 666.32
  4. Step 4: Simplify right side
    2,226.19x = 2,225,328.85
  5. Step 5: Solve for x
    x = 2,225,328.85/2,226.19
  6. Step 6: Final answer
    x = 999.61

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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.