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Finding the Fourth Proportional to 20,235.95, 27,922.32 and 11,283.22

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Solution

The fourth proportional to 20,235.95, 27,922.32 and 11,283.22 is: 15,569.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,235.95 : 27,922.32 = 11,283.22 : x
  2. Step 2: Convert to fraction form
    20,235.95/27,922.32 = 11,283.22/x
  3. Step 3: Cross multiply
    20,235.95x = 27,922.32 × 11,283.22
  4. Step 4: Simplify right side
    20,235.95x = 315,053,679.47
  5. Step 5: Solve for x
    x = 315,053,679.47/20,235.95
  6. Step 6: Final answer
    x = 15,569.01

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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.