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Finding the Fourth Proportional to 5,674.78, 8,509.47 and 2,387.26

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Solution

The fourth proportional to 5,674.78, 8,509.47 and 2,387.26 is: 3,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.78 : 8,509.47 = 2,387.26 : x
  2. Step 2: Convert to fraction form
    5,674.78/8,509.47 = 2,387.26/x
  3. Step 3: Cross multiply
    5,674.78x = 8,509.47 × 2,387.26
  4. Step 4: Simplify right side
    5,674.78x = 20,314,317.35
  5. Step 5: Solve for x
    x = 20,314,317.35/5,674.78
  6. Step 6: Final answer
    x = 3,579.75

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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.