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Finding the Fourth Proportional to 22,431.78, 30,945.78 and 12,995.28

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Solution

The fourth proportional to 22,431.78, 30,945.78 and 12,995.28 is: 17,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.78 : 30,945.78 = 12,995.28 : x
  2. Step 2: Convert to fraction form
    22,431.78/30,945.78 = 12,995.28/x
  3. Step 3: Cross multiply
    22,431.78x = 30,945.78 × 12,995.28
  4. Step 4: Simplify right side
    22,431.78x = 402,149,075.92
  5. Step 5: Solve for x
    x = 402,149,075.92/22,431.78
  6. Step 6: Final answer
    x = 17,927.65

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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.