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Finding the Fourth Proportional to 6,984, 9,643.68 and 6,109.92

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Solution

The fourth proportional to 6,984, 9,643.68 and 6,109.92 is: 8,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984 : 9,643.68 = 6,109.92 : x
  2. Step 2: Convert to fraction form
    6,984/9,643.68 = 6,109.92/x
  3. Step 3: Cross multiply
    6,984x = 9,643.68 × 6,109.92
  4. Step 4: Simplify right side
    6,984x = 58,922,113.31
  5. Step 5: Solve for x
    x = 58,922,113.31/6,984
  6. Step 6: Final answer
    x = 8,436.73

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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.