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Finding the Fourth Proportional to 6,558.51, 9,836.55 and 4,214.78

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Solution

The fourth proportional to 6,558.51, 9,836.55 and 4,214.78 is: 6,321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.51 : 9,836.55 = 4,214.78 : x
  2. Step 2: Convert to fraction form
    6,558.51/9,836.55 = 4,214.78/x
  3. Step 3: Cross multiply
    6,558.51x = 9,836.55 × 4,214.78
  4. Step 4: Simplify right side
    6,558.51x = 41,458,845.03
  5. Step 5: Solve for x
    x = 41,458,845.03/6,558.51
  6. Step 6: Final answer
    x = 6,321.38

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1.5x scale

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.