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Finding the Fourth Proportional to 27,949.34, 38,570 and 15,374

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Solution

The fourth proportional to 27,949.34, 38,570 and 15,374 is: 21,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,949.34 : 38,570 = 15,374 : x
  2. Step 2: Convert to fraction form
    27,949.34/38,570 = 15,374/x
  3. Step 3: Cross multiply
    27,949.34x = 38,570 × 15,374
  4. Step 4: Simplify right side
    27,949.34x = 592,975,180
  5. Step 5: Solve for x
    x = 592,975,180/27,949.34
  6. Step 6: Final answer
    x = 21,216.07

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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.