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Finding the Fourth Proportional to 20,252, 30,378 and 5,660

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Solution

The fourth proportional to 20,252, 30,378 and 5,660 is: 8,490

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,252 : 30,378 = 5,660 : x
  2. Step 2: Convert to fraction form
    20,252/30,378 = 5,660/x
  3. Step 3: Cross multiply
    20,252x = 30,378 × 5,660
  4. Step 4: Simplify right side
    20,252x = 171,939,480
  5. Step 5: Solve for x
    x = 171,939,480/20,252
  6. Step 6: Final answer
    x = 8,490

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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.