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Finding the Fourth Proportional to 2,864.86, 3,953.19 and 1,669.87

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Solution

The fourth proportional to 2,864.86, 3,953.19 and 1,669.87 is: 2,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.86 : 3,953.19 = 1,669.87 : x
  2. Step 2: Convert to fraction form
    2,864.86/3,953.19 = 1,669.87/x
  3. Step 3: Cross multiply
    2,864.86x = 3,953.19 × 1,669.87
  4. Step 4: Simplify right side
    2,864.86x = 6,601,300.00
  5. Step 5: Solve for x
    x = 6,601,300.00/2,864.86
  6. Step 6: Final answer
    x = 2,304.23

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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.