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Finding the Fourth Proportional to 27,889.52, 38,487.84 and 15,314

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Solution

The fourth proportional to 27,889.52, 38,487.84 and 15,314 is: 21,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,889.52 : 38,487.84 = 15,314 : x
  2. Step 2: Convert to fraction form
    27,889.52/38,487.84 = 15,314/x
  3. Step 3: Cross multiply
    27,889.52x = 38,487.84 × 15,314
  4. Step 4: Simplify right side
    27,889.52x = 589,402,781.76
  5. Step 5: Solve for x
    x = 589,402,781.76/27,889.52
  6. Step 6: Final answer
    x = 21,133.49

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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.