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Finding the Fourth Proportional to 7,287.40, 10,931.16 and 2,093.44

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Solution

The fourth proportional to 7,287.40, 10,931.16 and 2,093.44 is: 3,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.40 : 10,931.16 = 2,093.44 : x
  2. Step 2: Convert to fraction form
    7,287.40/10,931.16 = 2,093.44/x
  3. Step 3: Cross multiply
    7,287.40x = 10,931.16 × 2,093.44
  4. Step 4: Simplify right side
    7,287.40x = 22,883,727.59
  5. Step 5: Solve for x
    x = 22,883,727.59/7,287.40
  6. Step 6: Final answer
    x = 3,140.18

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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.