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Finding the Fourth Proportional to 2,889.95, 3,988.13 and 1,563.66

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Solution

The fourth proportional to 2,889.95, 3,988.13 and 1,563.66 is: 2,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.95 : 3,988.13 = 1,563.66 : x
  2. Step 2: Convert to fraction form
    2,889.95/3,988.13 = 1,563.66/x
  3. Step 3: Cross multiply
    2,889.95x = 3,988.13 × 1,563.66
  4. Step 4: Simplify right side
    2,889.95x = 6,236,051.60
  5. Step 5: Solve for x
    x = 6,236,051.60/2,889.95
  6. Step 6: Final answer
    x = 2,157.84

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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.