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Finding the Fourth Proportional to 19,317.53, 28,978.58 and 6,834.95

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Solution

The fourth proportional to 19,317.53, 28,978.58 and 6,834.95 is: 10,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,317.53 : 28,978.58 = 6,834.95 : x
  2. Step 2: Convert to fraction form
    19,317.53/28,978.58 = 6,834.95/x
  3. Step 3: Cross multiply
    19,317.53x = 28,978.58 × 6,834.95
  4. Step 4: Simplify right side
    19,317.53x = 198,067,111.20
  5. Step 5: Solve for x
    x = 198,067,111.20/19,317.53
  6. Step 6: Final answer
    x = 10,253.23

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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.