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Finding the Fourth Proportional to 5,648.22, 7,790.45 and 3,409.11

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Solution

The fourth proportional to 5,648.22, 7,790.45 and 3,409.11 is: 4,702.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.22 : 7,790.45 = 3,409.11 : x
  2. Step 2: Convert to fraction form
    5,648.22/7,790.45 = 3,409.11/x
  3. Step 3: Cross multiply
    5,648.22x = 7,790.45 × 3,409.11
  4. Step 4: Simplify right side
    5,648.22x = 26,558,483.95
  5. Step 5: Solve for x
    x = 26,558,483.95/5,648.22
  6. Step 6: Final answer
    x = 4,702.10

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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.