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Finding the Fourth Proportional to 4,148.50, 5,725.02 and 2,285.50

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Solution

The fourth proportional to 4,148.50, 5,725.02 and 2,285.50 is: 3,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.50 : 5,725.02 = 2,285.50 : x
  2. Step 2: Convert to fraction form
    4,148.50/5,725.02 = 2,285.50/x
  3. Step 3: Cross multiply
    4,148.50x = 5,725.02 × 2,285.50
  4. Step 4: Simplify right side
    4,148.50x = 13,084,533.21
  5. Step 5: Solve for x
    x = 13,084,533.21/4,148.50
  6. Step 6: Final answer
    x = 3,154.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.