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Finding the Fourth Proportional to 17,357.80, 23,947.32 and 11,392.80

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Solution

The fourth proportional to 17,357.80, 23,947.32 and 11,392.80 is: 15,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,357.80 : 23,947.32 = 11,392.80 : x
  2. Step 2: Convert to fraction form
    17,357.80/23,947.32 = 11,392.80/x
  3. Step 3: Cross multiply
    17,357.80x = 23,947.32 × 11,392.80
  4. Step 4: Simplify right side
    17,357.80x = 272,827,027.30
  5. Step 5: Solve for x
    x = 272,827,027.30/17,357.80
  6. Step 6: Final answer
    x = 15,717.83

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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.