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Finding the Fourth Proportional to 15,772.83, 21,764.97 and 9,722.13

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Solution

The fourth proportional to 15,772.83, 21,764.97 and 9,722.13 is: 13,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.83 : 21,764.97 = 9,722.13 : x
  2. Step 2: Convert to fraction form
    15,772.83/21,764.97 = 9,722.13/x
  3. Step 3: Cross multiply
    15,772.83x = 21,764.97 × 9,722.13
  4. Step 4: Simplify right side
    15,772.83x = 211,601,867.79
  5. Step 5: Solve for x
    x = 211,601,867.79/15,772.83
  6. Step 6: Final answer
    x = 13,415.59

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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.