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Finding the Fourth Proportional to 27,720, 38,254.68 and 15,785.46

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Solution

The fourth proportional to 27,720, 38,254.68 and 15,785.46 is: 21,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 38,254.68 = 15,785.46 : x
  2. Step 2: Convert to fraction form
    27,720/38,254.68 = 15,785.46/x
  3. Step 3: Cross multiply
    27,720x = 38,254.68 × 15,785.46
  4. Step 4: Simplify right side
    27,720x = 603,867,720.95
  5. Step 5: Solve for x
    x = 603,867,720.95/27,720
  6. Step 6: Final answer
    x = 21,784.55

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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.