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Finding the Fourth Proportional to 27,648, 38,167.86 and 19,156.56

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Solution

The fourth proportional to 27,648, 38,167.86 and 19,156.56 is: 26,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648 : 38,167.86 = 19,156.56 : x
  2. Step 2: Convert to fraction form
    27,648/38,167.86 = 19,156.56/x
  3. Step 3: Cross multiply
    27,648x = 38,167.86 × 19,156.56
  4. Step 4: Simplify right side
    27,648x = 731,164,900.16
  5. Step 5: Solve for x
    x = 731,164,900.16/27,648
  6. Step 6: Final answer
    x = 26,445.49

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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.