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Finding the Fourth Proportional to 10,986, 16,472.06 and 9,320.70

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Solution

The fourth proportional to 10,986, 16,472.06 and 9,320.70 is: 13,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986 : 16,472.06 = 9,320.70 : x
  2. Step 2: Convert to fraction form
    10,986/16,472.06 = 9,320.70/x
  3. Step 3: Cross multiply
    10,986x = 16,472.06 × 9,320.70
  4. Step 4: Simplify right side
    10,986x = 153,531,129.64
  5. Step 5: Solve for x
    x = 153,531,129.64/10,986
  6. Step 6: Final answer
    x = 13,975.16

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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.