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Finding the Fourth Proportional to 18,647.31, 27,967.22 and 9,155.64

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Solution

The fourth proportional to 18,647.31, 27,967.22 and 9,155.64 is: 13,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,647.31 : 27,967.22 = 9,155.64 : x
  2. Step 2: Convert to fraction form
    18,647.31/27,967.22 = 9,155.64/x
  3. Step 3: Cross multiply
    18,647.31x = 27,967.22 × 9,155.64
  4. Step 4: Simplify right side
    18,647.31x = 256,057,752.34
  5. Step 5: Solve for x
    x = 256,057,752.34/18,647.31
  6. Step 6: Final answer
    x = 13,731.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.