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Finding the Fourth Proportional to 27,705, 38,233.11 and 15,129.75

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Solution

The fourth proportional to 27,705, 38,233.11 and 15,129.75 is: 20,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705 : 38,233.11 = 15,129.75 : x
  2. Step 2: Convert to fraction form
    27,705/38,233.11 = 15,129.75/x
  3. Step 3: Cross multiply
    27,705x = 38,233.11 × 15,129.75
  4. Step 4: Simplify right side
    27,705x = 578,457,396.02
  5. Step 5: Solve for x
    x = 578,457,396.02/27,705
  6. Step 6: Final answer
    x = 20,879.17

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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.