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Finding the Fourth Proportional to 15,671.68, 21,645.92 and 11,416

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Solution

The fourth proportional to 15,671.68, 21,645.92 and 11,416 is: 15,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671.68 : 21,645.92 = 11,416 : x
  2. Step 2: Convert to fraction form
    15,671.68/21,645.92 = 11,416/x
  3. Step 3: Cross multiply
    15,671.68x = 21,645.92 × 11,416
  4. Step 4: Simplify right side
    15,671.68x = 247,109,822.72
  5. Step 5: Solve for x
    x = 247,109,822.72/15,671.68
  6. Step 6: Final answer
    x = 15,767.92

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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.