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Finding the Fourth Proportional to 27,789.47, 38,349.47 and 15,214.22

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Solution

The fourth proportional to 27,789.47, 38,349.47 and 15,214.22 is: 20,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,789.47 : 38,349.47 = 15,214.22 : x
  2. Step 2: Convert to fraction form
    27,789.47/38,349.47 = 15,214.22/x
  3. Step 3: Cross multiply
    27,789.47x = 38,349.47 × 15,214.22
  4. Step 4: Simplify right side
    27,789.47x = 583,457,407.37
  5. Step 5: Solve for x
    x = 583,457,407.37/27,789.47
  6. Step 6: Final answer
    x = 20,995.63

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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.