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Finding the Fourth Proportional to 28,956.78, 39,942.14 and 22,232.16

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Solution

The fourth proportional to 28,956.78, 39,942.14 and 22,232.16 is: 30,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,956.78 : 39,942.14 = 22,232.16 : x
  2. Step 2: Convert to fraction form
    28,956.78/39,942.14 = 22,232.16/x
  3. Step 3: Cross multiply
    28,956.78x = 39,942.14 × 22,232.16
  4. Step 4: Simplify right side
    28,956.78x = 888,000,047.22
  5. Step 5: Solve for x
    x = 888,000,047.22/28,956.78
  6. Step 6: Final answer
    x = 30,666.39

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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.