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Finding the Fourth Proportional to 7,287.69, 10,931.46 and 2,357.22

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Solution

The fourth proportional to 7,287.69, 10,931.46 and 2,357.22 is: 3,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.69 : 10,931.46 = 2,357.22 : x
  2. Step 2: Convert to fraction form
    7,287.69/10,931.46 = 2,357.22/x
  3. Step 3: Cross multiply
    7,287.69x = 10,931.46 × 2,357.22
  4. Step 4: Simplify right side
    7,287.69x = 25,767,856.14
  5. Step 5: Solve for x
    x = 25,767,856.14/7,287.69
  6. Step 6: Final answer
    x = 3,535.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.