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Finding the Fourth Proportional to 6,369.78, 9,511.74 and 5,202.06

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Solution

The fourth proportional to 6,369.78, 9,511.74 and 5,202.06 is: 7,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.78 : 9,511.74 = 5,202.06 : x
  2. Step 2: Convert to fraction form
    6,369.78/9,511.74 = 5,202.06/x
  3. Step 3: Cross multiply
    6,369.78x = 9,511.74 × 5,202.06
  4. Step 4: Simplify right side
    6,369.78x = 49,480,642.18
  5. Step 5: Solve for x
    x = 49,480,642.18/6,369.78
  6. Step 6: Final answer
    x = 7,768.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.