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Finding the Fourth Proportional to 19,317.59, 28,978.82 and 6,834.68

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Solution

The fourth proportional to 19,317.59, 28,978.82 and 6,834.68 is: 10,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,317.59 : 28,978.82 = 6,834.68 : x
  2. Step 2: Convert to fraction form
    19,317.59/28,978.82 = 6,834.68/x
  3. Step 3: Cross multiply
    19,317.59x = 28,978.82 × 6,834.68
  4. Step 4: Simplify right side
    19,317.59x = 198,060,782.41
  5. Step 5: Solve for x
    x = 198,060,782.41/19,317.59
  6. Step 6: Final answer
    x = 10,252.87

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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.