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Finding the Fourth Proportional to 5,659, 7,810.14 and 3,175

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Solution

The fourth proportional to 5,659, 7,810.14 and 3,175 is: 4,381.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659 : 7,810.14 = 3,175 : x
  2. Step 2: Convert to fraction form
    5,659/7,810.14 = 3,175/x
  3. Step 3: Cross multiply
    5,659x = 7,810.14 × 3,175
  4. Step 4: Simplify right side
    5,659x = 24,797,194.50
  5. Step 5: Solve for x
    x = 24,797,194.50/5,659
  6. Step 6: Final answer
    x = 4,381.90

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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.