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Finding the Fourth Proportional to 19,317.78, 28,978.95 and 6,835.20

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Solution

The fourth proportional to 19,317.78, 28,978.95 and 6,835.20 is: 10,253.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,317.78 : 28,978.95 = 6,835.20 : x
  2. Step 2: Convert to fraction form
    19,317.78/28,978.95 = 6,835.20/x
  3. Step 3: Cross multiply
    19,317.78x = 28,978.95 × 6,835.20
  4. Step 4: Simplify right side
    19,317.78x = 198,076,919.04
  5. Step 5: Solve for x
    x = 198,076,919.04/19,317.78
  6. Step 6: Final answer
    x = 10,253.61

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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.