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Finding the Fourth Proportional to 5,640.86, 8,458.62 and 1,690.59

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Solution

The fourth proportional to 5,640.86, 8,458.62 and 1,690.59 is: 2,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.86 : 8,458.62 = 1,690.59 : x
  2. Step 2: Convert to fraction form
    5,640.86/8,458.62 = 1,690.59/x
  3. Step 3: Cross multiply
    5,640.86x = 8,458.62 × 1,690.59
  4. Step 4: Simplify right side
    5,640.86x = 14,300,058.39
  5. Step 5: Solve for x
    x = 14,300,058.39/5,640.86
  6. Step 6: Final answer
    x = 2,535.08

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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.