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Finding the Fourth Proportional to 7,482.78, 11,223.18 and 2,552.31

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Solution

The fourth proportional to 7,482.78, 11,223.18 and 2,552.31 is: 3,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.78 : 11,223.18 = 2,552.31 : x
  2. Step 2: Convert to fraction form
    7,482.78/11,223.18 = 2,552.31/x
  3. Step 3: Cross multiply
    7,482.78x = 11,223.18 × 2,552.31
  4. Step 4: Simplify right side
    7,482.78x = 28,645,034.55
  5. Step 5: Solve for x
    x = 28,645,034.55/7,482.78
  6. Step 6: Final answer
    x = 3,828.13

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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.