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Finding the Fourth Proportional to 19,317.42, 28,978.43 and 6,834.87

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Solution

The fourth proportional to 19,317.42, 28,978.43 and 6,834.87 is: 10,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,317.42 : 28,978.43 = 6,834.87 : x
  2. Step 2: Convert to fraction form
    19,317.42/28,978.43 = 6,834.87/x
  3. Step 3: Cross multiply
    19,317.42x = 28,978.43 × 6,834.87
  4. Step 4: Simplify right side
    19,317.42x = 198,063,801.85
  5. Step 5: Solve for x
    x = 198,063,801.85/19,317.42
  6. Step 6: Final answer
    x = 10,253.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.