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Finding the Fourth Proportional to 22,009, 30,358.98 and 14,456.20

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Solution

The fourth proportional to 22,009, 30,358.98 and 14,456.20 is: 19,940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009 : 30,358.98 = 14,456.20 : x
  2. Step 2: Convert to fraction form
    22,009/30,358.98 = 14,456.20/x
  3. Step 3: Cross multiply
    22,009x = 30,358.98 × 14,456.20
  4. Step 4: Simplify right side
    22,009x = 438,875,486.68
  5. Step 5: Solve for x
    x = 438,875,486.68/22,009
  6. Step 6: Final answer
    x = 19,940.73

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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.