Home / 2,178.16-3,265-1,312.88

Finding the Fourth Proportional to 2,178.16, 3,265 and 1,312.88

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Solution

The fourth proportional to 2,178.16, 3,265 and 1,312.88 is: 1,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.16 : 3,265 = 1,312.88 : x
  2. Step 2: Convert to fraction form
    2,178.16/3,265 = 1,312.88/x
  3. Step 3: Cross multiply
    2,178.16x = 3,265 × 1,312.88
  4. Step 4: Simplify right side
    2,178.16x = 4,286,553.20
  5. Step 5: Solve for x
    x = 4,286,553.20/2,178.16
  6. Step 6: Final answer
    x = 1,967.97

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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.