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Finding the Fourth Proportional to 27,374.76, 37,777.43 and 15,438.42

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Solution

The fourth proportional to 27,374.76, 37,777.43 and 15,438.42 is: 21,305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374.76 : 37,777.43 = 15,438.42 : x
  2. Step 2: Convert to fraction form
    27,374.76/37,777.43 = 15,438.42/x
  3. Step 3: Cross multiply
    27,374.76x = 37,777.43 × 15,438.42
  4. Step 4: Simplify right side
    27,374.76x = 583,223,753.67
  5. Step 5: Solve for x
    x = 583,223,753.67/27,374.76
  6. Step 6: Final answer
    x = 21,305.16

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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.