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Finding the Fourth Proportional to 7,772, 10,725.60 and 4,460

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Solution

The fourth proportional to 7,772, 10,725.60 and 4,460 is: 6,154.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772 : 10,725.60 = 4,460 : x
  2. Step 2: Convert to fraction form
    7,772/10,725.60 = 4,460/x
  3. Step 3: Cross multiply
    7,772x = 10,725.60 × 4,460
  4. Step 4: Simplify right side
    7,772x = 47,836,176
  5. Step 5: Solve for x
    x = 47,836,176/7,772
  6. Step 6: Final answer
    x = 6,154.94

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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.