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Finding the Fourth Proportional to 18,642.80, 27,969.08 and 6,164.72

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Solution

The fourth proportional to 18,642.80, 27,969.08 and 6,164.72 is: 9,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.80 : 27,969.08 = 6,164.72 : x
  2. Step 2: Convert to fraction form
    18,642.80/27,969.08 = 6,164.72/x
  3. Step 3: Cross multiply
    18,642.80x = 27,969.08 × 6,164.72
  4. Step 4: Simplify right side
    18,642.80x = 172,421,546.86
  5. Step 5: Solve for x
    x = 172,421,546.86/18,642.80
  6. Step 6: Final answer
    x = 9,248.69

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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.