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Finding the Fourth Proportional to 3,798.88, 5,242.80 and 2,382.78

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Solution

The fourth proportional to 3,798.88, 5,242.80 and 2,382.78 is: 3,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.88 : 5,242.80 = 2,382.78 : x
  2. Step 2: Convert to fraction form
    3,798.88/5,242.80 = 2,382.78/x
  3. Step 3: Cross multiply
    3,798.88x = 5,242.80 × 2,382.78
  4. Step 4: Simplify right side
    3,798.88x = 12,492,438.98
  5. Step 5: Solve for x
    x = 12,492,438.98/3,798.88
  6. Step 6: Final answer
    x = 3,288.45

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1.5x scale

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.