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Finding the Fourth Proportional to 28,506.80, 42,701.84 and 16,784.48

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Solution

The fourth proportional to 28,506.80, 42,701.84 and 16,784.48 is: 25,142.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,506.80 : 42,701.84 = 16,784.48 : x
  2. Step 2: Convert to fraction form
    28,506.80/42,701.84 = 16,784.48/x
  3. Step 3: Cross multiply
    28,506.80x = 42,701.84 × 16,784.48
  4. Step 4: Simplify right side
    28,506.80x = 716,728,179.44
  5. Step 5: Solve for x
    x = 716,728,179.44/28,506.80
  6. Step 6: Final answer
    x = 25,142.36

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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.