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Finding the Fourth Proportional to 27,648, 38,154.24 and 15,072.84

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Solution

The fourth proportional to 27,648, 38,154.24 and 15,072.84 is: 20,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648 : 38,154.24 = 15,072.84 : x
  2. Step 2: Convert to fraction form
    27,648/38,154.24 = 15,072.84/x
  3. Step 3: Cross multiply
    27,648x = 38,154.24 × 15,072.84
  4. Step 4: Simplify right side
    27,648x = 575,092,754.84
  5. Step 5: Solve for x
    x = 575,092,754.84/27,648
  6. Step 6: Final answer
    x = 20,800.52

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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.