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Finding the Fourth Proportional to 27,897.42, 38,498.45 and 15,322.17

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Solution

The fourth proportional to 27,897.42, 38,498.45 and 15,322.17 is: 21,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.42 : 38,498.45 = 15,322.17 : x
  2. Step 2: Convert to fraction form
    27,897.42/38,498.45 = 15,322.17/x
  3. Step 3: Cross multiply
    27,897.42x = 38,498.45 × 15,322.17
  4. Step 4: Simplify right side
    27,897.42x = 589,879,719.03
  5. Step 5: Solve for x
    x = 589,879,719.03/27,897.42
  6. Step 6: Final answer
    x = 21,144.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.