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Finding the Fourth Proportional to 6,187.70, 9,277.42 and 3,187.68

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Solution

The fourth proportional to 6,187.70, 9,277.42 and 3,187.68 is: 4,779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.70 : 9,277.42 = 3,187.68 : x
  2. Step 2: Convert to fraction form
    6,187.70/9,277.42 = 3,187.68/x
  3. Step 3: Cross multiply
    6,187.70x = 9,277.42 × 3,187.68
  4. Step 4: Simplify right side
    6,187.70x = 29,573,446.19
  5. Step 5: Solve for x
    x = 29,573,446.19/6,187.70
  6. Step 6: Final answer
    x = 4,779.39

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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.