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Finding the Fourth Proportional to 4,706.86, 7,056.09 and 1,787.21

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Solution

The fourth proportional to 4,706.86, 7,056.09 and 1,787.21 is: 2,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.86 : 7,056.09 = 1,787.21 : x
  2. Step 2: Convert to fraction form
    4,706.86/7,056.09 = 1,787.21/x
  3. Step 3: Cross multiply
    4,706.86x = 7,056.09 × 1,787.21
  4. Step 4: Simplify right side
    4,706.86x = 12,610,725.63
  5. Step 5: Solve for x
    x = 12,610,725.63/4,706.86
  6. Step 6: Final answer
    x = 2,679.22

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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.