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Finding the Fourth Proportional to 9,880.29, 14,822.37 and 8,489.79

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Solution

The fourth proportional to 9,880.29, 14,822.37 and 8,489.79 is: 12,736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,880.29 : 14,822.37 = 8,489.79 : x
  2. Step 2: Convert to fraction form
    9,880.29/14,822.37 = 8,489.79/x
  3. Step 3: Cross multiply
    9,880.29x = 14,822.37 × 8,489.79
  4. Step 4: Simplify right side
    9,880.29x = 125,838,808.60
  5. Step 5: Solve for x
    x = 125,838,808.60/9,880.29
  6. Step 6: Final answer
    x = 12,736.35

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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.