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Finding the Fourth Proportional to 17,787.60, 26,659.80 and 7,916.40

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Solution

The fourth proportional to 17,787.60, 26,659.80 and 7,916.40 is: 11,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.60 : 26,659.80 = 7,916.40 : x
  2. Step 2: Convert to fraction form
    17,787.60/26,659.80 = 7,916.40/x
  3. Step 3: Cross multiply
    17,787.60x = 26,659.80 × 7,916.40
  4. Step 4: Simplify right side
    17,787.60x = 211,049,640.72
  5. Step 5: Solve for x
    x = 211,049,640.72/17,787.60
  6. Step 6: Final answer
    x = 11,864.99

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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.