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Finding the Fourth Proportional to 4,993.64, 6,891.91 and 2,897.77

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Solution

The fourth proportional to 4,993.64, 6,891.91 and 2,897.77 is: 3,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.64 : 6,891.91 = 2,897.77 : x
  2. Step 2: Convert to fraction form
    4,993.64/6,891.91 = 2,897.77/x
  3. Step 3: Cross multiply
    4,993.64x = 6,891.91 × 2,897.77
  4. Step 4: Simplify right side
    4,993.64x = 19,971,145.57
  5. Step 5: Solve for x
    x = 19,971,145.57/4,993.64
  6. Step 6: Final answer
    x = 3,999.31

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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.