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Finding the Fourth Proportional to 5,188.78, 7,782.90 and 1,490.86

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Solution

The fourth proportional to 5,188.78, 7,782.90 and 1,490.86 is: 2,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.78 : 7,782.90 = 1,490.86 : x
  2. Step 2: Convert to fraction form
    5,188.78/7,782.90 = 1,490.86/x
  3. Step 3: Cross multiply
    5,188.78x = 7,782.90 × 1,490.86
  4. Step 4: Simplify right side
    5,188.78x = 11,603,214.29
  5. Step 5: Solve for x
    x = 11,603,214.29/5,188.78
  6. Step 6: Final answer
    x = 2,236.21

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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.