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Finding the Fourth Proportional to 7,552, 11,333.12 and 2,688

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Solution

The fourth proportional to 7,552, 11,333.12 and 2,688 is: 4,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552 : 11,333.12 = 2,688 : x
  2. Step 2: Convert to fraction form
    7,552/11,333.12 = 2,688/x
  3. Step 3: Cross multiply
    7,552x = 11,333.12 × 2,688
  4. Step 4: Simplify right side
    7,552x = 30,463,426.56
  5. Step 5: Solve for x
    x = 30,463,426.56/7,552
  6. Step 6: Final answer
    x = 4,033.82

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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.