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Finding the Fourth Proportional to 10,643.25, 15,979.01 and 9,093.21

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Solution

The fourth proportional to 10,643.25, 15,979.01 and 9,093.21 is: 13,651.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.25 : 15,979.01 = 9,093.21 : x
  2. Step 2: Convert to fraction form
    10,643.25/15,979.01 = 9,093.21/x
  3. Step 3: Cross multiply
    10,643.25x = 15,979.01 × 9,093.21
  4. Step 4: Simplify right side
    10,643.25x = 145,300,448.06
  5. Step 5: Solve for x
    x = 145,300,448.06/10,643.25
  6. Step 6: Final answer
    x = 13,651.89

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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.