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Finding the Fourth Proportional to 2,178.37, 3,267.51 and 534.92

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Solution

The fourth proportional to 2,178.37, 3,267.51 and 534.92 is: 802.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.37 : 3,267.51 = 534.92 : x
  2. Step 2: Convert to fraction form
    2,178.37/3,267.51 = 534.92/x
  3. Step 3: Cross multiply
    2,178.37x = 3,267.51 × 534.92
  4. Step 4: Simplify right side
    2,178.37x = 1,747,864.62
  5. Step 5: Solve for x
    x = 1,747,864.62/2,178.37
  6. Step 6: Final answer
    x = 802.37

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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.