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Finding the Fourth Proportional to 5,442, 8,163.40 and 3,990.32

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Solution

The fourth proportional to 5,442, 8,163.40 and 3,990.32 is: 5,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,442 : 8,163.40 = 3,990.32 : x
  2. Step 2: Convert to fraction form
    5,442/8,163.40 = 3,990.32/x
  3. Step 3: Cross multiply
    5,442x = 8,163.40 × 3,990.32
  4. Step 4: Simplify right side
    5,442x = 32,574,578.29
  5. Step 5: Solve for x
    x = 32,574,578.29/5,442
  6. Step 6: Final answer
    x = 5,985.77

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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.