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Finding the Fourth Proportional to 7,065.42, 9,750.40 and 3,879.01

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Solution

The fourth proportional to 7,065.42, 9,750.40 and 3,879.01 is: 5,353.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.42 : 9,750.40 = 3,879.01 : x
  2. Step 2: Convert to fraction form
    7,065.42/9,750.40 = 3,879.01/x
  3. Step 3: Cross multiply
    7,065.42x = 9,750.40 × 3,879.01
  4. Step 4: Simplify right side
    7,065.42x = 37,821,928.92
  5. Step 5: Solve for x
    x = 37,821,928.92/7,065.42
  6. Step 6: Final answer
    x = 5,353.10

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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.