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Finding the Fourth Proportional to 6,393.60, 8,822.54 and 4,715.90

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Solution

The fourth proportional to 6,393.60, 8,822.54 and 4,715.90 is: 6,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.60 : 8,822.54 = 4,715.90 : x
  2. Step 2: Convert to fraction form
    6,393.60/8,822.54 = 4,715.90/x
  3. Step 3: Cross multiply
    6,393.60x = 8,822.54 × 4,715.90
  4. Step 4: Simplify right side
    6,393.60x = 41,606,216.39
  5. Step 5: Solve for x
    x = 41,606,216.39/6,393.60
  6. Step 6: Final answer
    x = 6,507.48

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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.