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Finding the Fourth Proportional to 7,220, 10,834.32 and 3,116

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Solution

The fourth proportional to 7,220, 10,834.32 and 3,116 is: 4,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220 : 10,834.32 = 3,116 : x
  2. Step 2: Convert to fraction form
    7,220/10,834.32 = 3,116/x
  3. Step 3: Cross multiply
    7,220x = 10,834.32 × 3,116
  4. Step 4: Simplify right side
    7,220x = 33,759,741.12
  5. Step 5: Solve for x
    x = 33,759,741.12/7,220
  6. Step 6: Final answer
    x = 4,675.86

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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.