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Finding the Fourth Proportional to 22,101.12, 30,501 and 12,669.84

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Solution

The fourth proportional to 22,101.12, 30,501 and 12,669.84 is: 17,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.12 : 30,501 = 12,669.84 : x
  2. Step 2: Convert to fraction form
    22,101.12/30,501 = 12,669.84/x
  3. Step 3: Cross multiply
    22,101.12x = 30,501 × 12,669.84
  4. Step 4: Simplify right side
    22,101.12x = 386,442,789.84
  5. Step 5: Solve for x
    x = 386,442,789.84/22,101.12
  6. Step 6: Final answer
    x = 17,485.21

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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.