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Finding the Fourth Proportional to 6,390.78, 8,826.65 and 4,262.61

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Solution

The fourth proportional to 6,390.78, 8,826.65 and 4,262.61 is: 5,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.78 : 8,826.65 = 4,262.61 : x
  2. Step 2: Convert to fraction form
    6,390.78/8,826.65 = 4,262.61/x
  3. Step 3: Cross multiply
    6,390.78x = 8,826.65 × 4,262.61
  4. Step 4: Simplify right side
    6,390.78x = 37,624,577.21
  5. Step 5: Solve for x
    x = 37,624,577.21/6,390.78
  6. Step 6: Final answer
    x = 5,887.32

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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.