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Finding the Fourth Proportional to 11,916.45, 16,411.41 and 11,658.16

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Solution

The fourth proportional to 11,916.45, 16,411.41 and 11,658.16 is: 16,055.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.45 : 16,411.41 = 11,658.16 : x
  2. Step 2: Convert to fraction form
    11,916.45/16,411.41 = 11,658.16/x
  3. Step 3: Cross multiply
    11,916.45x = 16,411.41 × 11,658.16
  4. Step 4: Simplify right side
    11,916.45x = 191,326,864.12
  5. Step 5: Solve for x
    x = 191,326,864.12/11,916.45
  6. Step 6: Final answer
    x = 16,055.69

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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.