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Finding the Fourth Proportional to 2,867.84, 3,957.48 and 1,871.18

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Solution

The fourth proportional to 2,867.84, 3,957.48 and 1,871.18 is: 2,582.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.84 : 3,957.48 = 1,871.18 : x
  2. Step 2: Convert to fraction form
    2,867.84/3,957.48 = 1,871.18/x
  3. Step 3: Cross multiply
    2,867.84x = 3,957.48 × 1,871.18
  4. Step 4: Simplify right side
    2,867.84x = 7,405,157.43
  5. Step 5: Solve for x
    x = 7,405,157.43/2,867.84
  6. Step 6: Final answer
    x = 2,582.14

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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.