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Finding the Fourth Proportional to 3,599.92, 5,397.74 and 1,406.10

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Solution

The fourth proportional to 3,599.92, 5,397.74 and 1,406.10 is: 2,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.92 : 5,397.74 = 1,406.10 : x
  2. Step 2: Convert to fraction form
    3,599.92/5,397.74 = 1,406.10/x
  3. Step 3: Cross multiply
    3,599.92x = 5,397.74 × 1,406.10
  4. Step 4: Simplify right side
    3,599.92x = 7,589,762.21
  5. Step 5: Solve for x
    x = 7,589,762.21/3,599.92
  6. Step 6: Final answer
    x = 2,108.31

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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.