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Finding the Fourth Proportional to 27,400.68, 37,820.25 and 15,471

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Solution

The fourth proportional to 27,400.68, 37,820.25 and 15,471 is: 21,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400.68 : 37,820.25 = 15,471 : x
  2. Step 2: Convert to fraction form
    27,400.68/37,820.25 = 15,471/x
  3. Step 3: Cross multiply
    27,400.68x = 37,820.25 × 15,471
  4. Step 4: Simplify right side
    27,400.68x = 585,117,087.75
  5. Step 5: Solve for x
    x = 585,117,087.75/27,400.68
  6. Step 6: Final answer
    x = 21,354.11

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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.