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Finding the Fourth Proportional to 22,168.64, 30,564 and 18,377.92

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Solution

The fourth proportional to 22,168.64, 30,564 and 18,377.92 is: 25,337.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,168.64 : 30,564 = 18,377.92 : x
  2. Step 2: Convert to fraction form
    22,168.64/30,564 = 18,377.92/x
  3. Step 3: Cross multiply
    22,168.64x = 30,564 × 18,377.92
  4. Step 4: Simplify right side
    22,168.64x = 561,702,746.88
  5. Step 5: Solve for x
    x = 561,702,746.88/22,168.64
  6. Step 6: Final answer
    x = 25,337.72

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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.