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Finding the Fourth Proportional to 5,640.48, 8,458.06 and 1,690.22

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Solution

The fourth proportional to 5,640.48, 8,458.06 and 1,690.22 is: 2,534.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.48 : 8,458.06 = 1,690.22 : x
  2. Step 2: Convert to fraction form
    5,640.48/8,458.06 = 1,690.22/x
  3. Step 3: Cross multiply
    5,640.48x = 8,458.06 × 1,690.22
  4. Step 4: Simplify right side
    5,640.48x = 14,295,982.17
  5. Step 5: Solve for x
    x = 14,295,982.17/5,640.48
  6. Step 6: Final answer
    x = 2,534.53

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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.