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Finding the Fourth Proportional to 5,298.64, 7,939.32 and 2,698

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Solution

The fourth proportional to 5,298.64, 7,939.32 and 2,698 is: 4,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.64 : 7,939.32 = 2,698 : x
  2. Step 2: Convert to fraction form
    5,298.64/7,939.32 = 2,698/x
  3. Step 3: Cross multiply
    5,298.64x = 7,939.32 × 2,698
  4. Step 4: Simplify right side
    5,298.64x = 21,420,285.36
  5. Step 5: Solve for x
    x = 21,420,285.36/5,298.64
  6. Step 6: Final answer
    x = 4,042.60

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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.