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Finding the Fourth Proportional to 22,346.72, 30,838 and 12,275.28

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Solution

The fourth proportional to 22,346.72, 30,838 and 12,275.28 is: 16,939.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,346.72 : 30,838 = 12,275.28 : x
  2. Step 2: Convert to fraction form
    22,346.72/30,838 = 12,275.28/x
  3. Step 3: Cross multiply
    22,346.72x = 30,838 × 12,275.28
  4. Step 4: Simplify right side
    22,346.72x = 378,545,084.64
  5. Step 5: Solve for x
    x = 378,545,084.64/22,346.72
  6. Step 6: Final answer
    x = 16,939.63

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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.