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Finding the Fourth Proportional to 2,887.71, 3,985.03 and 1,561.41

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Solution

The fourth proportional to 2,887.71, 3,985.03 and 1,561.41 is: 2,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.71 : 3,985.03 = 1,561.41 : x
  2. Step 2: Convert to fraction form
    2,887.71/3,985.03 = 1,561.41/x
  3. Step 3: Cross multiply
    2,887.71x = 3,985.03 × 1,561.41
  4. Step 4: Simplify right side
    2,887.71x = 6,222,265.69
  5. Step 5: Solve for x
    x = 6,222,265.69/2,887.71
  6. Step 6: Final answer
    x = 2,154.74

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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.