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Finding the Fourth Proportional to 3,777.95, 5,665.46 and 1,278.47

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Solution

The fourth proportional to 3,777.95, 5,665.46 and 1,278.47 is: 1,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.95 : 5,665.46 = 1,278.47 : x
  2. Step 2: Convert to fraction form
    3,777.95/5,665.46 = 1,278.47/x
  3. Step 3: Cross multiply
    3,777.95x = 5,665.46 × 1,278.47
  4. Step 4: Simplify right side
    3,777.95x = 7,243,127.64
  5. Step 5: Solve for x
    x = 7,243,127.64/3,777.95
  6. Step 6: Final answer
    x = 1,917.21

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1.5x scale

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.