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Finding the Fourth Proportional to 9,388, 14,086.86 and 4,771

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Solution

The fourth proportional to 9,388, 14,086.86 and 4,771 is: 7,158.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388 : 14,086.86 = 4,771 : x
  2. Step 2: Convert to fraction form
    9,388/14,086.86 = 4,771/x
  3. Step 3: Cross multiply
    9,388x = 14,086.86 × 4,771
  4. Step 4: Simplify right side
    9,388x = 67,208,409.06
  5. Step 5: Solve for x
    x = 67,208,409.06/9,388
  6. Step 6: Final answer
    x = 7,158.97

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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.