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Finding the Fourth Proportional to 6,196, 8,551.56 and 3,712

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Solution

The fourth proportional to 6,196, 8,551.56 and 3,712 is: 5,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196 : 8,551.56 = 3,712 : x
  2. Step 2: Convert to fraction form
    6,196/8,551.56 = 3,712/x
  3. Step 3: Cross multiply
    6,196x = 8,551.56 × 3,712
  4. Step 4: Simplify right side
    6,196x = 31,743,390.72
  5. Step 5: Solve for x
    x = 31,743,390.72/6,196
  6. Step 6: Final answer
    x = 5,123.21

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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.