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Finding the Fourth Proportional to 5,422.64, 7,482.36 and 3,184.34

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Solution

The fourth proportional to 5,422.64, 7,482.36 and 3,184.34 is: 4,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.64 : 7,482.36 = 3,184.34 : x
  2. Step 2: Convert to fraction form
    5,422.64/7,482.36 = 3,184.34/x
  3. Step 3: Cross multiply
    5,422.64x = 7,482.36 × 3,184.34
  4. Step 4: Simplify right side
    5,422.64x = 23,826,378.24
  5. Step 5: Solve for x
    x = 23,826,378.24/5,422.64
  6. Step 6: Final answer
    x = 4,393.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.