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Finding the Fourth Proportional to 2,871.79, 4,309.36 and 1,118.01

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Solution

The fourth proportional to 2,871.79, 4,309.36 and 1,118.01 is: 1,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.79 : 4,309.36 = 1,118.01 : x
  2. Step 2: Convert to fraction form
    2,871.79/4,309.36 = 1,118.01/x
  3. Step 3: Cross multiply
    2,871.79x = 4,309.36 × 1,118.01
  4. Step 4: Simplify right side
    2,871.79x = 4,817,880.44
  5. Step 5: Solve for x
    x = 4,817,880.44/2,871.79
  6. Step 6: Final answer
    x = 1,677.66

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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.