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Finding the Fourth Proportional to 10,972.80, 16,448.40 and 9,806.40

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Solution

The fourth proportional to 10,972.80, 16,448.40 and 9,806.40 is: 14,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.80 : 16,448.40 = 9,806.40 : x
  2. Step 2: Convert to fraction form
    10,972.80/16,448.40 = 9,806.40/x
  3. Step 3: Cross multiply
    10,972.80x = 16,448.40 × 9,806.40
  4. Step 4: Simplify right side
    10,972.80x = 161,299,589.76
  5. Step 5: Solve for x
    x = 161,299,589.76/10,972.80
  6. Step 6: Final answer
    x = 14,699.95

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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.