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Finding the Fourth Proportional to 7,772, 10,725.37 and 4,235.21

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Solution

The fourth proportional to 7,772, 10,725.37 and 4,235.21 is: 5,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772 : 10,725.37 = 4,235.21 : x
  2. Step 2: Convert to fraction form
    7,772/10,725.37 = 4,235.21/x
  3. Step 3: Cross multiply
    7,772x = 10,725.37 × 4,235.21
  4. Step 4: Simplify right side
    7,772x = 45,424,173.10
  5. Step 5: Solve for x
    x = 45,424,173.10/7,772
  6. Step 6: Final answer
    x = 5,844.59

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1.5x scale

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.