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Finding the Fourth Proportional to 2,310.76, 3,464.88 and 829.78

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Solution

The fourth proportional to 2,310.76, 3,464.88 and 829.78 is: 1,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.76 : 3,464.88 = 829.78 : x
  2. Step 2: Convert to fraction form
    2,310.76/3,464.88 = 829.78/x
  3. Step 3: Cross multiply
    2,310.76x = 3,464.88 × 829.78
  4. Step 4: Simplify right side
    2,310.76x = 2,875,088.13
  5. Step 5: Solve for x
    x = 2,875,088.13/2,310.76
  6. Step 6: Final answer
    x = 1,244.22

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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.