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Finding the Fourth Proportional to 18,646.72, 27,971.61 and 8,117.08

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Solution

The fourth proportional to 18,646.72, 27,971.61 and 8,117.08 is: 12,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.72 : 27,971.61 = 8,117.08 : x
  2. Step 2: Convert to fraction form
    18,646.72/27,971.61 = 8,117.08/x
  3. Step 3: Cross multiply
    18,646.72x = 27,971.61 × 8,117.08
  4. Step 4: Simplify right side
    18,646.72x = 227,047,796.10
  5. Step 5: Solve for x
    x = 227,047,796.10/18,646.72
  6. Step 6: Final answer
    x = 12,176.29

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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.