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Finding the Fourth Proportional to 5,188.86, 7,782.48 and 2,069.28

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Solution

The fourth proportional to 5,188.86, 7,782.48 and 2,069.28 is: 3,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.86 : 7,782.48 = 2,069.28 : x
  2. Step 2: Convert to fraction form
    5,188.86/7,782.48 = 2,069.28/x
  3. Step 3: Cross multiply
    5,188.86x = 7,782.48 × 2,069.28
  4. Step 4: Simplify right side
    5,188.86x = 16,104,130.21
  5. Step 5: Solve for x
    x = 16,104,130.21/5,188.86
  6. Step 6: Final answer
    x = 3,103.60

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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.