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Finding the Fourth Proportional to 4,857, 6,703.58 and 3,090.66

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Solution

The fourth proportional to 4,857, 6,703.58 and 3,090.66 is: 4,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857 : 6,703.58 = 3,090.66 : x
  2. Step 2: Convert to fraction form
    4,857/6,703.58 = 3,090.66/x
  3. Step 3: Cross multiply
    4,857x = 6,703.58 × 3,090.66
  4. Step 4: Simplify right side
    4,857x = 20,718,486.56
  5. Step 5: Solve for x
    x = 20,718,486.56/4,857
  6. Step 6: Final answer
    x = 4,265.70

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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.