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Finding the Fourth Proportional to 34,803.20, 48,006.52 and 20,646

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Solution

The fourth proportional to 34,803.20, 48,006.52 and 20,646 is: 28,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,803.20 : 48,006.52 = 20,646 : x
  2. Step 2: Convert to fraction form
    34,803.20/48,006.52 = 20,646/x
  3. Step 3: Cross multiply
    34,803.20x = 48,006.52 × 20,646
  4. Step 4: Simplify right side
    34,803.20x = 991,142,611.92
  5. Step 5: Solve for x
    x = 991,142,611.92/34,803.20
  6. Step 6: Final answer
    x = 28,478.49

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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.