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Finding the Fourth Proportional to 7,138.36, 9,850.98 and 4,156.06

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Solution

The fourth proportional to 7,138.36, 9,850.98 and 4,156.06 is: 5,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.36 : 9,850.98 = 4,156.06 : x
  2. Step 2: Convert to fraction form
    7,138.36/9,850.98 = 4,156.06/x
  3. Step 3: Cross multiply
    7,138.36x = 9,850.98 × 4,156.06
  4. Step 4: Simplify right side
    7,138.36x = 40,941,263.94
  5. Step 5: Solve for x
    x = 40,941,263.94/7,138.36
  6. Step 6: Final answer
    x = 5,735.39

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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.