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Finding the Fourth Proportional to 27,372.88, 37,777.95 and 15,436

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Solution

The fourth proportional to 27,372.88, 37,777.95 and 15,436 is: 21,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,372.88 : 37,777.95 = 15,436 : x
  2. Step 2: Convert to fraction form
    27,372.88/37,777.95 = 15,436/x
  3. Step 3: Cross multiply
    27,372.88x = 37,777.95 × 15,436
  4. Step 4: Simplify right side
    27,372.88x = 583,140,436.20
  5. Step 5: Solve for x
    x = 583,140,436.20/27,372.88
  6. Step 6: Final answer
    x = 21,303.58

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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.