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Finding the Fourth Proportional to 6,295.92, 8,688 and 3,643.14

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Solution

The fourth proportional to 6,295.92, 8,688 and 3,643.14 is: 5,027.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.92 : 8,688 = 3,643.14 : x
  2. Step 2: Convert to fraction form
    6,295.92/8,688 = 3,643.14/x
  3. Step 3: Cross multiply
    6,295.92x = 8,688 × 3,643.14
  4. Step 4: Simplify right side
    6,295.92x = 31,651,600.32
  5. Step 5: Solve for x
    x = 31,651,600.32/6,295.92
  6. Step 6: Final answer
    x = 5,027.32

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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.