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Finding the Fourth Proportional to 20,222, 27,909.24 and 19,336.40

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Solution

The fourth proportional to 20,222, 27,909.24 and 19,336.40 is: 26,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,222 : 27,909.24 = 19,336.40 : x
  2. Step 2: Convert to fraction form
    20,222/27,909.24 = 19,336.40/x
  3. Step 3: Cross multiply
    20,222x = 27,909.24 × 19,336.40
  4. Step 4: Simplify right side
    20,222x = 539,664,228.34
  5. Step 5: Solve for x
    x = 539,664,228.34/20,222
  6. Step 6: Final answer
    x = 26,686.99

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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.