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Finding the Fourth Proportional to 13,822.18, 19,074.99 and 8,445.49

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Solution

The fourth proportional to 13,822.18, 19,074.99 and 8,445.49 is: 11,655.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.18 : 19,074.99 = 8,445.49 : x
  2. Step 2: Convert to fraction form
    13,822.18/19,074.99 = 8,445.49/x
  3. Step 3: Cross multiply
    13,822.18x = 19,074.99 × 8,445.49
  4. Step 4: Simplify right side
    13,822.18x = 161,097,541.92
  5. Step 5: Solve for x
    x = 161,097,541.92/13,822.18
  6. Step 6: Final answer
    x = 11,655.01

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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.