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Finding the Fourth Proportional to 2,178, 3,267.03 and 534.54

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Solution

The fourth proportional to 2,178, 3,267.03 and 534.54 is: 801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178 : 3,267.03 = 534.54 : x
  2. Step 2: Convert to fraction form
    2,178/3,267.03 = 534.54/x
  3. Step 3: Cross multiply
    2,178x = 3,267.03 × 534.54
  4. Step 4: Simplify right side
    2,178x = 1,746,358.22
  5. Step 5: Solve for x
    x = 1,746,358.22/2,178
  6. Step 6: Final answer
    x = 801.82

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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.