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Finding the Fourth Proportional to 22,103.84, 30,507 and 14,145.68

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Solution

The fourth proportional to 22,103.84, 30,507 and 14,145.68 is: 19,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.84 : 30,507 = 14,145.68 : x
  2. Step 2: Convert to fraction form
    22,103.84/30,507 = 14,145.68/x
  3. Step 3: Cross multiply
    22,103.84x = 30,507 × 14,145.68
  4. Step 4: Simplify right side
    22,103.84x = 431,542,259.76
  5. Step 5: Solve for x
    x = 431,542,259.76/22,103.84
  6. Step 6: Final answer
    x = 19,523.41

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Half scale
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Double scale
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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.