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Finding the Fourth Proportional to 9,986.22, 14,955.99 and 7,892.17

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Solution

The fourth proportional to 9,986.22, 14,955.99 and 7,892.17 is: 11,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.22 : 14,955.99 = 7,892.17 : x
  2. Step 2: Convert to fraction form
    9,986.22/14,955.99 = 7,892.17/x
  3. Step 3: Cross multiply
    9,986.22x = 14,955.99 × 7,892.17
  4. Step 4: Simplify right side
    9,986.22x = 118,035,148.61
  5. Step 5: Solve for x
    x = 118,035,148.61/9,986.22
  6. Step 6: Final answer
    x = 11,819.80

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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.