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Finding the Fourth Proportional to 13,822.12, 19,074.59 and 7,854.11

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Solution

The fourth proportional to 13,822.12, 19,074.59 and 7,854.11 is: 10,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.12 : 19,074.59 = 7,854.11 : x
  2. Step 2: Convert to fraction form
    13,822.12/19,074.59 = 7,854.11/x
  3. Step 3: Cross multiply
    13,822.12x = 19,074.59 × 7,854.11
  4. Step 4: Simplify right side
    13,822.12x = 149,813,894.40
  5. Step 5: Solve for x
    x = 149,813,894.40/13,822.12
  6. Step 6: Final answer
    x = 10,838.70

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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.