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Finding the Fourth Proportional to 12,689.43, 19,055.93 and 7,787.85

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Solution

The fourth proportional to 12,689.43, 19,055.93 and 7,787.85 is: 11,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.43 : 19,055.93 = 7,787.85 : x
  2. Step 2: Convert to fraction form
    12,689.43/19,055.93 = 7,787.85/x
  3. Step 3: Cross multiply
    12,689.43x = 19,055.93 × 7,787.85
  4. Step 4: Simplify right side
    12,689.43x = 148,404,685.51
  5. Step 5: Solve for x
    x = 148,404,685.51/12,689.43
  6. Step 6: Final answer
    x = 11,695.14

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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.