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Finding the Fourth Proportional to 7,091, 9,785.58 and 4,147

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Solution

The fourth proportional to 7,091, 9,785.58 and 4,147 is: 5,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091 : 9,785.58 = 4,147 : x
  2. Step 2: Convert to fraction form
    7,091/9,785.58 = 4,147/x
  3. Step 3: Cross multiply
    7,091x = 9,785.58 × 4,147
  4. Step 4: Simplify right side
    7,091x = 40,580,800.26
  5. Step 5: Solve for x
    x = 40,580,800.26/7,091
  6. Step 6: Final answer
    x = 5,722.86

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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.