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Finding the Fourth Proportional to 22,470.14, 31,009.02 and 12,398.92

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Solution

The fourth proportional to 22,470.14, 31,009.02 and 12,398.92 is: 17,110.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,470.14 : 31,009.02 = 12,398.92 : x
  2. Step 2: Convert to fraction form
    22,470.14/31,009.02 = 12,398.92/x
  3. Step 3: Cross multiply
    22,470.14x = 31,009.02 × 12,398.92
  4. Step 4: Simplify right side
    22,470.14x = 384,478,358.26
  5. Step 5: Solve for x
    x = 384,478,358.26/22,470.14
  6. Step 6: Final answer
    x = 17,110.63

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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.