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Finding the Fourth Proportional to 27,897, 38,497.86 and 15,322.56

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Solution

The fourth proportional to 27,897, 38,497.86 and 15,322.56 is: 21,145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897 : 38,497.86 = 15,322.56 : x
  2. Step 2: Convert to fraction form
    27,897/38,497.86 = 15,322.56/x
  3. Step 3: Cross multiply
    27,897x = 38,497.86 × 15,322.56
  4. Step 4: Simplify right side
    27,897x = 589,885,769.72
  5. Step 5: Solve for x
    x = 589,885,769.72/27,897
  6. Step 6: Final answer
    x = 21,145.13

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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.