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Finding the Fourth Proportional to 2,551.77, 3,827.61 and 820.40

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Solution

The fourth proportional to 2,551.77, 3,827.61 and 820.40 is: 1,230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.77 : 3,827.61 = 820.40 : x
  2. Step 2: Convert to fraction form
    2,551.77/3,827.61 = 820.40/x
  3. Step 3: Cross multiply
    2,551.77x = 3,827.61 × 820.40
  4. Step 4: Simplify right side
    2,551.77x = 3,140,152.11
  5. Step 5: Solve for x
    x = 3,140,152.11/2,551.77
  6. Step 6: Final answer
    x = 1,230.58

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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.