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Finding the Fourth Proportional to 4,649.77, 6,971.61 and 1,687.66

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Solution

The fourth proportional to 4,649.77, 6,971.61 and 1,687.66 is: 2,530.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.77 : 6,971.61 = 1,687.66 : x
  2. Step 2: Convert to fraction form
    4,649.77/6,971.61 = 1,687.66/x
  3. Step 3: Cross multiply
    4,649.77x = 6,971.61 × 1,687.66
  4. Step 4: Simplify right side
    4,649.77x = 11,765,696.23
  5. Step 5: Solve for x
    x = 11,765,696.23/4,649.77
  6. Step 6: Final answer
    x = 2,530.38

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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.