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Finding the Fourth Proportional to 5,643.10, 8,465.04 and 1,694.20

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Solution

The fourth proportional to 5,643.10, 8,465.04 and 1,694.20 is: 2,541.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.10 : 8,465.04 = 1,694.20 : x
  2. Step 2: Convert to fraction form
    5,643.10/8,465.04 = 1,694.20/x
  3. Step 3: Cross multiply
    5,643.10x = 8,465.04 × 1,694.20
  4. Step 4: Simplify right side
    5,643.10x = 14,341,453.42
  5. Step 5: Solve for x
    x = 14,341,453.42/5,643.10
  6. Step 6: Final answer
    x = 2,541.41

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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.