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Finding the Fourth Proportional to 2,178.31, 3,267.43 and 534.87

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Solution

The fourth proportional to 2,178.31, 3,267.43 and 534.87 is: 802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.31 : 3,267.43 = 534.87 : x
  2. Step 2: Convert to fraction form
    2,178.31/3,267.43 = 534.87/x
  3. Step 3: Cross multiply
    2,178.31x = 3,267.43 × 534.87
  4. Step 4: Simplify right side
    2,178.31x = 1,747,650.28
  5. Step 5: Solve for x
    x = 1,747,650.28/2,178.31
  6. Step 6: Final answer
    x = 802.30

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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.