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Finding the Fourth Proportional to 4,927.98, 6,800.64 and 2,689.91

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Solution

The fourth proportional to 4,927.98, 6,800.64 and 2,689.91 is: 3,712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.98 : 6,800.64 = 2,689.91 : x
  2. Step 2: Convert to fraction form
    4,927.98/6,800.64 = 2,689.91/x
  3. Step 3: Cross multiply
    4,927.98x = 6,800.64 × 2,689.91
  4. Step 4: Simplify right side
    4,927.98x = 18,293,062.09
  5. Step 5: Solve for x
    x = 18,293,062.09/4,927.98
  6. Step 6: Final answer
    x = 3,712.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.