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Finding the Fourth Proportional to 21,846, 32,917.80 and 19,459.08

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Solution

The fourth proportional to 21,846, 32,917.80 and 19,459.08 is: 29,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,846 : 32,917.80 = 19,459.08 : x
  2. Step 2: Convert to fraction form
    21,846/32,917.80 = 19,459.08/x
  3. Step 3: Cross multiply
    21,846x = 32,917.80 × 19,459.08
  4. Step 4: Simplify right side
    21,846x = 640,550,103.62
  5. Step 5: Solve for x
    x = 640,550,103.62/21,846
  6. Step 6: Final answer
    x = 29,321.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.