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Finding the Fourth Proportional to 5,642.22, 7,786.31 and 3,403.65

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Solution

The fourth proportional to 5,642.22, 7,786.31 and 3,403.65 is: 4,697.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.22 : 7,786.31 = 3,403.65 : x
  2. Step 2: Convert to fraction form
    5,642.22/7,786.31 = 3,403.65/x
  3. Step 3: Cross multiply
    5,642.22x = 7,786.31 × 3,403.65
  4. Step 4: Simplify right side
    5,642.22x = 26,501,857.01
  5. Step 5: Solve for x
    x = 26,501,857.01/5,642.22
  6. Step 6: Final answer
    x = 4,697.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.