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Finding the Fourth Proportional to 7,083.42, 9,775.23 and 4,099.86

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Solution

The fourth proportional to 7,083.42, 9,775.23 and 4,099.86 is: 5,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.42 : 9,775.23 = 4,099.86 : x
  2. Step 2: Convert to fraction form
    7,083.42/9,775.23 = 4,099.86/x
  3. Step 3: Cross multiply
    7,083.42x = 9,775.23 × 4,099.86
  4. Step 4: Simplify right side
    7,083.42x = 40,077,074.47
  5. Step 5: Solve for x
    x = 40,077,074.47/7,083.42
  6. Step 6: Final answer
    x = 5,657.87

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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.