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Finding the Fourth Proportional to 7,925, 10,936.50 and 4,613

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Solution

The fourth proportional to 7,925, 10,936.50 and 4,613 is: 6,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925 : 10,936.50 = 4,613 : x
  2. Step 2: Convert to fraction form
    7,925/10,936.50 = 4,613/x
  3. Step 3: Cross multiply
    7,925x = 10,936.50 × 4,613
  4. Step 4: Simplify right side
    7,925x = 50,450,074.50
  5. Step 5: Solve for x
    x = 50,450,074.50/7,925
  6. Step 6: Final answer
    x = 6,365.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.