Home / 2,140.32-3,211.92-841.64

Finding the Fourth Proportional to 2,140.32, 3,211.92 and 841.64

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Solution

The fourth proportional to 2,140.32, 3,211.92 and 841.64 is: 1,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.32 : 3,211.92 = 841.64 : x
  2. Step 2: Convert to fraction form
    2,140.32/3,211.92 = 841.64/x
  3. Step 3: Cross multiply
    2,140.32x = 3,211.92 × 841.64
  4. Step 4: Simplify right side
    2,140.32x = 2,703,280.35
  5. Step 5: Solve for x
    x = 2,703,280.35/2,140.32
  6. Step 6: Final answer
    x = 1,263.03

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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.