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Finding the Fourth Proportional to 3,805, 5,703.21 and 2,877.55

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Solution

The fourth proportional to 3,805, 5,703.21 and 2,877.55 is: 4,313.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805 : 5,703.21 = 2,877.55 : x
  2. Step 2: Convert to fraction form
    3,805/5,703.21 = 2,877.55/x
  3. Step 3: Cross multiply
    3,805x = 5,703.21 × 2,877.55
  4. Step 4: Simplify right side
    3,805x = 16,411,271.94
  5. Step 5: Solve for x
    x = 16,411,271.94/3,805
  6. Step 6: Final answer
    x = 4,313.08

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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.