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Finding the Fourth Proportional to 7,804.56, 11,706.86 and 3,187.56

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Solution

The fourth proportional to 7,804.56, 11,706.86 and 3,187.56 is: 4,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.56 : 11,706.86 = 3,187.56 : x
  2. Step 2: Convert to fraction form
    7,804.56/11,706.86 = 3,187.56/x
  3. Step 3: Cross multiply
    7,804.56x = 11,706.86 × 3,187.56
  4. Step 4: Simplify right side
    7,804.56x = 37,316,318.66
  5. Step 5: Solve for x
    x = 37,316,318.66/7,804.56
  6. Step 6: Final answer
    x = 4,781.35

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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.