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Finding the Fourth Proportional to 9,318.75, 13,978.12 and 6,388.17

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Solution

The fourth proportional to 9,318.75, 13,978.12 and 6,388.17 is: 9,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.75 : 13,978.12 = 6,388.17 : x
  2. Step 2: Convert to fraction form
    9,318.75/13,978.12 = 6,388.17/x
  3. Step 3: Cross multiply
    9,318.75x = 13,978.12 × 6,388.17
  4. Step 4: Simplify right side
    9,318.75x = 89,294,606.84
  5. Step 5: Solve for x
    x = 89,294,606.84/9,318.75
  6. Step 6: Final answer
    x = 9,582.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.