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Finding the Fourth Proportional to 25,697.48, 38,546.02 and 13,221

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Solution

The fourth proportional to 25,697.48, 38,546.02 and 13,221 is: 19,831.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.48 : 38,546.02 = 13,221 : x
  2. Step 2: Convert to fraction form
    25,697.48/38,546.02 = 13,221/x
  3. Step 3: Cross multiply
    25,697.48x = 38,546.02 × 13,221
  4. Step 4: Simplify right side
    25,697.48x = 509,616,930.42
  5. Step 5: Solve for x
    x = 509,616,930.42/25,697.48
  6. Step 6: Final answer
    x = 19,831.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.