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Finding the Fourth Proportional to 3,840.48, 5,299.81 and 2,184.48

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Solution

The fourth proportional to 3,840.48, 5,299.81 and 2,184.48 is: 3,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.48 : 5,299.81 = 2,184.48 : x
  2. Step 2: Convert to fraction form
    3,840.48/5,299.81 = 2,184.48/x
  3. Step 3: Cross multiply
    3,840.48x = 5,299.81 × 2,184.48
  4. Step 4: Simplify right side
    3,840.48x = 11,577,328.95
  5. Step 5: Solve for x
    x = 11,577,328.95/3,840.48
  6. Step 6: Final answer
    x = 3,014.55

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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.