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Finding the Fourth Proportional to 16,862, 23,269.93 and 9,308.31

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Solution

The fourth proportional to 16,862, 23,269.93 and 9,308.31 is: 12,845.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,862 : 23,269.93 = 9,308.31 : x
  2. Step 2: Convert to fraction form
    16,862/23,269.93 = 9,308.31/x
  3. Step 3: Cross multiply
    16,862x = 23,269.93 × 9,308.31
  4. Step 4: Simplify right side
    16,862x = 216,603,803.56
  5. Step 5: Solve for x
    x = 216,603,803.56/16,862
  6. Step 6: Final answer
    x = 12,845.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.