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Finding the Fourth Proportional to 7,122.54, 9,824.66 and 5,129.94

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Solution

The fourth proportional to 7,122.54, 9,824.66 and 5,129.94 is: 7,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.54 : 9,824.66 = 5,129.94 : x
  2. Step 2: Convert to fraction form
    7,122.54/9,824.66 = 5,129.94/x
  3. Step 3: Cross multiply
    7,122.54x = 9,824.66 × 5,129.94
  4. Step 4: Simplify right side
    7,122.54x = 50,399,916.32
  5. Step 5: Solve for x
    x = 50,399,916.32/7,122.54
  6. Step 6: Final answer
    x = 7,076.12

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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.