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Finding the Fourth Proportional to 6,426.64, 8,866.96 and 4,036.87

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Solution

The fourth proportional to 6,426.64, 8,866.96 and 4,036.87 is: 5,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.64 : 8,866.96 = 4,036.87 : x
  2. Step 2: Convert to fraction form
    6,426.64/8,866.96 = 4,036.87/x
  3. Step 3: Cross multiply
    6,426.64x = 8,866.96 × 4,036.87
  4. Step 4: Simplify right side
    6,426.64x = 35,794,764.82
  5. Step 5: Solve for x
    x = 35,794,764.82/6,426.64
  6. Step 6: Final answer
    x = 5,569.75

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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.