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Finding the Fourth Proportional to 5,193.90, 7,784.96 and 1,860.61

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Solution

The fourth proportional to 5,193.90, 7,784.96 and 1,860.61 is: 2,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.90 : 7,784.96 = 1,860.61 : x
  2. Step 2: Convert to fraction form
    5,193.90/7,784.96 = 1,860.61/x
  3. Step 3: Cross multiply
    5,193.90x = 7,784.96 × 1,860.61
  4. Step 4: Simplify right side
    5,193.90x = 14,484,774.43
  5. Step 5: Solve for x
    x = 14,484,774.43/5,193.90
  6. Step 6: Final answer
    x = 2,788.81

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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.