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Finding the Fourth Proportional to 7,287.84, 10,931.76 and 2,093.72

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Solution

The fourth proportional to 7,287.84, 10,931.76 and 2,093.72 is: 3,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.84 : 10,931.76 = 2,093.72 : x
  2. Step 2: Convert to fraction form
    7,287.84/10,931.76 = 2,093.72/x
  3. Step 3: Cross multiply
    7,287.84x = 10,931.76 × 2,093.72
  4. Step 4: Simplify right side
    7,287.84x = 22,887,989.89
  5. Step 5: Solve for x
    x = 22,887,989.89/7,287.84
  6. Step 6: Final answer
    x = 3,140.57

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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.