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Finding the Fourth Proportional to 9,278, 12,803.68 and 5,552

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Solution

The fourth proportional to 9,278, 12,803.68 and 5,552 is: 7,661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278 : 12,803.68 = 5,552 : x
  2. Step 2: Convert to fraction form
    9,278/12,803.68 = 5,552/x
  3. Step 3: Cross multiply
    9,278x = 12,803.68 × 5,552
  4. Step 4: Simplify right side
    9,278x = 71,086,031.36
  5. Step 5: Solve for x
    x = 71,086,031.36/9,278
  6. Step 6: Final answer
    x = 7,661.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.