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Finding the Fourth Proportional to 7,876.96, 11,816.25 and 3,495.40

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Solution

The fourth proportional to 7,876.96, 11,816.25 and 3,495.40 is: 5,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.96 : 11,816.25 = 3,495.40 : x
  2. Step 2: Convert to fraction form
    7,876.96/11,816.25 = 3,495.40/x
  3. Step 3: Cross multiply
    7,876.96x = 11,816.25 × 3,495.40
  4. Step 4: Simplify right side
    7,876.96x = 41,302,520.25
  5. Step 5: Solve for x
    x = 41,302,520.25/7,876.96
  6. Step 6: Final answer
    x = 5,243.46

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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.