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Finding the Fourth Proportional to 27,994.92, 38,631.24 and 15,419.64

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Solution

The fourth proportional to 27,994.92, 38,631.24 and 15,419.64 is: 21,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994.92 : 38,631.24 = 15,419.64 : x
  2. Step 2: Convert to fraction form
    27,994.92/38,631.24 = 15,419.64/x
  3. Step 3: Cross multiply
    27,994.92x = 38,631.24 × 15,419.64
  4. Step 4: Simplify right side
    27,994.92x = 595,679,813.55
  5. Step 5: Solve for x
    x = 595,679,813.55/27,994.92
  6. Step 6: Final answer
    x = 21,278.14

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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.