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Finding the Fourth Proportional to 7,504, 11,256.56 and 2,887

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Solution

The fourth proportional to 7,504, 11,256.56 and 2,887 is: 4,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504 : 11,256.56 = 2,887 : x
  2. Step 2: Convert to fraction form
    7,504/11,256.56 = 2,887/x
  3. Step 3: Cross multiply
    7,504x = 11,256.56 × 2,887
  4. Step 4: Simplify right side
    7,504x = 32,497,688.72
  5. Step 5: Solve for x
    x = 32,497,688.72/7,504
  6. Step 6: Final answer
    x = 4,330.72

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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.