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Finding the Fourth Proportional to 9,263.24, 13,878.64 and 7,713.20

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Solution

The fourth proportional to 9,263.24, 13,878.64 and 7,713.20 is: 11,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.24 : 13,878.64 = 7,713.20 : x
  2. Step 2: Convert to fraction form
    9,263.24/13,878.64 = 7,713.20/x
  3. Step 3: Cross multiply
    9,263.24x = 13,878.64 × 7,713.20
  4. Step 4: Simplify right side
    9,263.24x = 107,048,726.05
  5. Step 5: Solve for x
    x = 107,048,726.05/9,263.24
  6. Step 6: Final answer
    x = 11,556.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.