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Finding the Fourth Proportional to 26,290.11, 39,435.15 and 7,822.11

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Solution

The fourth proportional to 26,290.11, 39,435.15 and 7,822.11 is: 11,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,290.11 : 39,435.15 = 7,822.11 : x
  2. Step 2: Convert to fraction form
    26,290.11/39,435.15 = 7,822.11/x
  3. Step 3: Cross multiply
    26,290.11x = 39,435.15 × 7,822.11
  4. Step 4: Simplify right side
    26,290.11x = 308,466,081.17
  5. Step 5: Solve for x
    x = 308,466,081.17/26,290.11
  6. Step 6: Final answer
    x = 11,733.16

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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.