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Finding the Fourth Proportional to 16,411.70, 22,648.28 and 9,338.58

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Solution

The fourth proportional to 16,411.70, 22,648.28 and 9,338.58 is: 12,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.70 : 22,648.28 = 9,338.58 : x
  2. Step 2: Convert to fraction form
    16,411.70/22,648.28 = 9,338.58/x
  3. Step 3: Cross multiply
    16,411.70x = 22,648.28 × 9,338.58
  4. Step 4: Simplify right side
    16,411.70x = 211,502,780.48
  5. Step 5: Solve for x
    x = 211,502,780.48/16,411.70
  6. Step 6: Final answer
    x = 12,887.32

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