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Finding the Fourth Proportional to 7,926, 10,938.44 and 4,782

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Solution

The fourth proportional to 7,926, 10,938.44 and 4,782 is: 6,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,926 : 10,938.44 = 4,782 : x
  2. Step 2: Convert to fraction form
    7,926/10,938.44 = 4,782/x
  3. Step 3: Cross multiply
    7,926x = 10,938.44 × 4,782
  4. Step 4: Simplify right side
    7,926x = 52,307,620.08
  5. Step 5: Solve for x
    x = 52,307,620.08/7,926
  6. Step 6: Final answer
    x = 6,599.50

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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.