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Finding the Fourth Proportional to 3,871.52, 5,801.64 and 2,897.12

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Solution

The fourth proportional to 3,871.52, 5,801.64 and 2,897.12 is: 4,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.52 : 5,801.64 = 2,897.12 : x
  2. Step 2: Convert to fraction form
    3,871.52/5,801.64 = 2,897.12/x
  3. Step 3: Cross multiply
    3,871.52x = 5,801.64 × 2,897.12
  4. Step 4: Simplify right side
    3,871.52x = 16,808,047.28
  5. Step 5: Solve for x
    x = 16,808,047.28/3,871.52
  6. Step 6: Final answer
    x = 4,341.46

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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.