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Finding the Fourth Proportional to 3,776.42, 5,666.12 and 1,928.00

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Solution

The fourth proportional to 3,776.42, 5,666.12 and 1,928.00 is: 2,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.42 : 5,666.12 = 1,928.00 : x
  2. Step 2: Convert to fraction form
    3,776.42/5,666.12 = 1,928.00/x
  3. Step 3: Cross multiply
    3,776.42x = 5,666.12 × 1,928.00
  4. Step 4: Simplify right side
    3,776.42x = 10,924,291.12
  5. Step 5: Solve for x
    x = 10,924,291.12/3,776.42
  6. Step 6: Final answer
    x = 2,892.76

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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.