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Finding the Fourth Proportional to 32,739.20, 49,116 and 15,200

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Solution

The fourth proportional to 32,739.20, 49,116 and 15,200 is: 22,803.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,739.20 : 49,116 = 15,200 : x
  2. Step 2: Convert to fraction form
    32,739.20/49,116 = 15,200/x
  3. Step 3: Cross multiply
    32,739.20x = 49,116 × 15,200
  4. Step 4: Simplify right side
    32,739.20x = 746,563,200
  5. Step 5: Solve for x
    x = 746,563,200/32,739.20
  6. Step 6: Final answer
    x = 22,803.34

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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.