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Finding the Fourth Proportional to 27,972, 38,601.48 and 15,396.96

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Solution

The fourth proportional to 27,972, 38,601.48 and 15,396.96 is: 21,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972 : 38,601.48 = 15,396.96 : x
  2. Step 2: Convert to fraction form
    27,972/38,601.48 = 15,396.96/x
  3. Step 3: Cross multiply
    27,972x = 38,601.48 × 15,396.96
  4. Step 4: Simplify right side
    27,972x = 594,345,443.50
  5. Step 5: Solve for x
    x = 594,345,443.50/27,972
  6. Step 6: Final answer
    x = 21,247.87

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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.