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Finding the Fourth Proportional to 6,264.66, 8,646.03 and 5,739.78

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Solution

The fourth proportional to 6,264.66, 8,646.03 and 5,739.78 is: 7,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.66 : 8,646.03 = 5,739.78 : x
  2. Step 2: Convert to fraction form
    6,264.66/8,646.03 = 5,739.78/x
  3. Step 3: Cross multiply
    6,264.66x = 8,646.03 × 5,739.78
  4. Step 4: Simplify right side
    6,264.66x = 49,626,310.07
  5. Step 5: Solve for x
    x = 49,626,310.07/6,264.66
  6. Step 6: Final answer
    x = 7,921.63

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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.