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Finding the Fourth Proportional to 17,787.87, 26,686.44 and 10,398.63

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Solution

The fourth proportional to 17,787.87, 26,686.44 and 10,398.63 is: 15,600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.87 : 26,686.44 = 10,398.63 : x
  2. Step 2: Convert to fraction form
    17,787.87/26,686.44 = 10,398.63/x
  3. Step 3: Cross multiply
    17,787.87x = 26,686.44 × 10,398.63
  4. Step 4: Simplify right side
    17,787.87x = 277,502,415.58
  5. Step 5: Solve for x
    x = 277,502,415.58/17,787.87
  6. Step 6: Final answer
    x = 15,600.65

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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.