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Finding the Fourth Proportional to 16,411, 22,648 and 9,338.08

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Solution

The fourth proportional to 16,411, 22,648 and 9,338.08 is: 12,887.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411 : 22,648 = 9,338.08 : x
  2. Step 2: Convert to fraction form
    16,411/22,648 = 9,338.08/x
  3. Step 3: Cross multiply
    16,411x = 22,648 × 9,338.08
  4. Step 4: Simplify right side
    16,411x = 211,488,835.84
  5. Step 5: Solve for x
    x = 211,488,835.84/16,411
  6. Step 6: Final answer
    x = 12,887.02

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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.