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Finding the Fourth Proportional to 5,785.98, 8,678.97 and 1,403.43

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Solution

The fourth proportional to 5,785.98, 8,678.97 and 1,403.43 is: 2,105.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.98 : 8,678.97 = 1,403.43 : x
  2. Step 2: Convert to fraction form
    5,785.98/8,678.97 = 1,403.43/x
  3. Step 3: Cross multiply
    5,785.98x = 8,678.97 × 1,403.43
  4. Step 4: Simplify right side
    5,785.98x = 12,180,326.87
  5. Step 5: Solve for x
    x = 12,180,326.87/5,785.98
  6. Step 6: Final answer
    x = 2,105.15

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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.