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Finding the Fourth Proportional to 19,787.86, 29,688 and 8,703.87

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Solution

The fourth proportional to 19,787.86, 29,688 and 8,703.87 is: 13,058.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,787.86 : 29,688 = 8,703.87 : x
  2. Step 2: Convert to fraction form
    19,787.86/29,688 = 8,703.87/x
  3. Step 3: Cross multiply
    19,787.86x = 29,688 × 8,703.87
  4. Step 4: Simplify right side
    19,787.86x = 258,400,492.56
  5. Step 5: Solve for x
    x = 258,400,492.56/19,787.86
  6. Step 6: Final answer
    x = 13,058.54

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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.