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Finding the Fourth Proportional to 4,123, 6,184.50 and 1,387

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Solution

The fourth proportional to 4,123, 6,184.50 and 1,387 is: 2,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123 : 6,184.50 = 1,387 : x
  2. Step 2: Convert to fraction form
    4,123/6,184.50 = 1,387/x
  3. Step 3: Cross multiply
    4,123x = 6,184.50 × 1,387
  4. Step 4: Simplify right side
    4,123x = 8,577,901.50
  5. Step 5: Solve for x
    x = 8,577,901.50/4,123
  6. Step 6: Final answer
    x = 2,080.50

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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.