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Finding the Fourth Proportional to 22,478.44, 30,995.94 and 15,313

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Solution

The fourth proportional to 22,478.44, 30,995.94 and 15,313 is: 21,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.44 : 30,995.94 = 15,313 : x
  2. Step 2: Convert to fraction form
    22,478.44/30,995.94 = 15,313/x
  3. Step 3: Cross multiply
    22,478.44x = 30,995.94 × 15,313
  4. Step 4: Simplify right side
    22,478.44x = 474,640,829.22
  5. Step 5: Solve for x
    x = 474,640,829.22/22,478.44
  6. Step 6: Final answer
    x = 21,115.38

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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.