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Finding the Fourth Proportional to 7,103.41, 9,803.31 and 4,120.31

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Solution

The fourth proportional to 7,103.41, 9,803.31 and 4,120.31 is: 5,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.41 : 9,803.31 = 4,120.31 : x
  2. Step 2: Convert to fraction form
    7,103.41/9,803.31 = 4,120.31/x
  3. Step 3: Cross multiply
    7,103.41x = 9,803.31 × 4,120.31
  4. Step 4: Simplify right side
    7,103.41x = 40,392,676.23
  5. Step 5: Solve for x
    x = 40,392,676.23/7,103.41
  6. Step 6: Final answer
    x = 5,686.38

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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.