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Finding the Fourth Proportional to 11,935.14, 16,470.86 and 7,216.71

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Solution

The fourth proportional to 11,935.14, 16,470.86 and 7,216.71 is: 9,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,935.14 : 16,470.86 = 7,216.71 : x
  2. Step 2: Convert to fraction form
    11,935.14/16,470.86 = 7,216.71/x
  3. Step 3: Cross multiply
    11,935.14x = 16,470.86 × 7,216.71
  4. Step 4: Simplify right side
    11,935.14x = 118,865,383.99
  5. Step 5: Solve for x
    x = 118,865,383.99/11,935.14
  6. Step 6: Final answer
    x = 9,959.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.