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Finding the Fourth Proportional to 27,633, 38,133.54 and 15,057.75

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Solution

The fourth proportional to 27,633, 38,133.54 and 15,057.75 is: 20,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,633 : 38,133.54 = 15,057.75 : x
  2. Step 2: Convert to fraction form
    27,633/38,133.54 = 15,057.75/x
  3. Step 3: Cross multiply
    27,633x = 38,133.54 × 15,057.75
  4. Step 4: Simplify right side
    27,633x = 574,205,311.94
  5. Step 5: Solve for x
    x = 574,205,311.94/27,633
  6. Step 6: Final answer
    x = 20,779.70

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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.