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Finding the Fourth Proportional to 9,806.40, 14,711.88 and 2,881.44

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Solution

The fourth proportional to 9,806.40, 14,711.88 and 2,881.44 is: 4,322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.40 : 14,711.88 = 2,881.44 : x
  2. Step 2: Convert to fraction form
    9,806.40/14,711.88 = 2,881.44/x
  3. Step 3: Cross multiply
    9,806.40x = 14,711.88 × 2,881.44
  4. Step 4: Simplify right side
    9,806.40x = 42,391,399.51
  5. Step 5: Solve for x
    x = 42,391,399.51/9,806.40
  6. Step 6: Final answer
    x = 4,322.83

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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.