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Finding the Fourth Proportional to 2,184.76, 3,277.64 and 624.78

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Solution

The fourth proportional to 2,184.76, 3,277.64 and 624.78 is: 937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.76 : 3,277.64 = 624.78 : x
  2. Step 2: Convert to fraction form
    2,184.76/3,277.64 = 624.78/x
  3. Step 3: Cross multiply
    2,184.76x = 3,277.64 × 624.78
  4. Step 4: Simplify right side
    2,184.76x = 2,047,803.92
  5. Step 5: Solve for x
    x = 2,047,803.92/2,184.76
  6. Step 6: Final answer
    x = 937.31

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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.