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Finding the Fourth Proportional to 27,686.76, 38,209.76 and 15,753.94

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Solution

The fourth proportional to 27,686.76, 38,209.76 and 15,753.94 is: 21,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,686.76 : 38,209.76 = 15,753.94 : x
  2. Step 2: Convert to fraction form
    27,686.76/38,209.76 = 15,753.94/x
  3. Step 3: Cross multiply
    27,686.76x = 38,209.76 × 15,753.94
  4. Step 4: Simplify right side
    27,686.76x = 601,954,266.45
  5. Step 5: Solve for x
    x = 601,954,266.45/27,686.76
  6. Step 6: Final answer
    x = 21,741.59

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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.