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Finding the Fourth Proportional to 27,661, 38,172.18 and 15,085.84

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Solution

The fourth proportional to 27,661, 38,172.18 and 15,085.84 is: 20,818.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661 : 38,172.18 = 15,085.84 : x
  2. Step 2: Convert to fraction form
    27,661/38,172.18 = 15,085.84/x
  3. Step 3: Cross multiply
    27,661x = 38,172.18 × 15,085.84
  4. Step 4: Simplify right side
    27,661x = 575,859,399.93
  5. Step 5: Solve for x
    x = 575,859,399.93/27,661
  6. Step 6: Final answer
    x = 20,818.46

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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.