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Finding the Fourth Proportional to 2,784.03, 4,175.90 and 935

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Solution

The fourth proportional to 2,784.03, 4,175.90 and 935 is: 1,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.03 : 4,175.90 = 935 : x
  2. Step 2: Convert to fraction form
    2,784.03/4,175.90 = 935/x
  3. Step 3: Cross multiply
    2,784.03x = 4,175.90 × 935
  4. Step 4: Simplify right side
    2,784.03x = 3,904,466.50
  5. Step 5: Solve for x
    x = 3,904,466.50/2,784.03
  6. Step 6: Final answer
    x = 1,402.45

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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.