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Finding the Fourth Proportional to 32,513.76, 48,759.84 and 12,787.20

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Solution

The fourth proportional to 32,513.76, 48,759.84 and 12,787.20 is: 19,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.76 : 48,759.84 = 12,787.20 : x
  2. Step 2: Convert to fraction form
    32,513.76/48,759.84 = 12,787.20/x
  3. Step 3: Cross multiply
    32,513.76x = 48,759.84 × 12,787.20
  4. Step 4: Simplify right side
    32,513.76x = 623,501,826.05
  5. Step 5: Solve for x
    x = 623,501,826.05/32,513.76
  6. Step 6: Final answer
    x = 19,176.55

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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.