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Finding the Fourth Proportional to 2,178, 3,267.72 and 878.76

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Solution

The fourth proportional to 2,178, 3,267.72 and 878.76 is: 1,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178 : 3,267.72 = 878.76 : x
  2. Step 2: Convert to fraction form
    2,178/3,267.72 = 878.76/x
  3. Step 3: Cross multiply
    2,178x = 3,267.72 × 878.76
  4. Step 4: Simplify right side
    2,178x = 2,871,541.63
  5. Step 5: Solve for x
    x = 2,871,541.63/2,178
  6. Step 6: Final answer
    x = 1,318.43

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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.