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Finding the Fourth Proportional to 14,112.14, 21,175.14 and 9,978.71

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Solution

The fourth proportional to 14,112.14, 21,175.14 and 9,978.71 is: 14,972.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.14 : 21,175.14 = 9,978.71 : x
  2. Step 2: Convert to fraction form
    14,112.14/21,175.14 = 9,978.71/x
  3. Step 3: Cross multiply
    14,112.14x = 21,175.14 × 9,978.71
  4. Step 4: Simplify right side
    14,112.14x = 211,300,581.27
  5. Step 5: Solve for x
    x = 211,300,581.27/14,112.14
  6. Step 6: Final answer
    x = 14,972.97

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1.5x scale

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.