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Finding the Fourth Proportional to 2,784.69, 4,173.80 and 2,753.91

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Solution

The fourth proportional to 2,784.69, 4,173.80 and 2,753.91 is: 4,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.69 : 4,173.80 = 2,753.91 : x
  2. Step 2: Convert to fraction form
    2,784.69/4,173.80 = 2,753.91/x
  3. Step 3: Cross multiply
    2,784.69x = 4,173.80 × 2,753.91
  4. Step 4: Simplify right side
    2,784.69x = 11,494,255.79
  5. Step 5: Solve for x
    x = 11,494,255.79/2,784.69
  6. Step 6: Final answer
    x = 4,127.66

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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.