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Finding the Fourth Proportional to 2,866.04, 3,953.68 and 1,871.90

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Solution

The fourth proportional to 2,866.04, 3,953.68 and 1,871.90 is: 2,582.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.04 : 3,953.68 = 1,871.90 : x
  2. Step 2: Convert to fraction form
    2,866.04/3,953.68 = 1,871.90/x
  3. Step 3: Cross multiply
    2,866.04x = 3,953.68 × 1,871.90
  4. Step 4: Simplify right side
    2,866.04x = 7,400,908.16
  5. Step 5: Solve for x
    x = 7,400,908.16/2,866.04
  6. Step 6: Final answer
    x = 2,582.27

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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.