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Finding the Fourth Proportional to 27,684.60, 38,254.80 and 19,713

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Solution

The fourth proportional to 27,684.60, 38,254.80 and 19,713 is: 27,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.60 : 38,254.80 = 19,713 : x
  2. Step 2: Convert to fraction form
    27,684.60/38,254.80 = 19,713/x
  3. Step 3: Cross multiply
    27,684.60x = 38,254.80 × 19,713
  4. Step 4: Simplify right side
    27,684.60x = 754,116,872.40
  5. Step 5: Solve for x
    x = 754,116,872.40/27,684.60
  6. Step 6: Final answer
    x = 27,239.58

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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.