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Finding the Fourth Proportional to 8,202.24, 11,328.48 and 7,492.32

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Solution

The fourth proportional to 8,202.24, 11,328.48 and 7,492.32 is: 10,347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.24 : 11,328.48 = 7,492.32 : x
  2. Step 2: Convert to fraction form
    8,202.24/11,328.48 = 7,492.32/x
  3. Step 3: Cross multiply
    8,202.24x = 11,328.48 × 7,492.32
  4. Step 4: Simplify right side
    8,202.24x = 84,876,597.27
  5. Step 5: Solve for x
    x = 84,876,597.27/8,202.24
  6. Step 6: Final answer
    x = 10,347.98

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