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Finding the Fourth Proportional to 4,688, 6,469.56 and 2,825.12

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Solution

The fourth proportional to 4,688, 6,469.56 and 2,825.12 is: 3,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688 : 6,469.56 = 2,825.12 : x
  2. Step 2: Convert to fraction form
    4,688/6,469.56 = 2,825.12/x
  3. Step 3: Cross multiply
    4,688x = 6,469.56 × 2,825.12
  4. Step 4: Simplify right side
    4,688x = 18,277,283.35
  5. Step 5: Solve for x
    x = 18,277,283.35/4,688
  6. Step 6: Final answer
    x = 3,898.74

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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.