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Finding the Fourth Proportional to 13,810.68, 19,055.46 and 7,841.04

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Solution

The fourth proportional to 13,810.68, 19,055.46 and 7,841.04 is: 10,818.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.68 : 19,055.46 = 7,841.04 : x
  2. Step 2: Convert to fraction form
    13,810.68/19,055.46 = 7,841.04/x
  3. Step 3: Cross multiply
    13,810.68x = 19,055.46 × 7,841.04
  4. Step 4: Simplify right side
    13,810.68x = 149,414,624.08
  5. Step 5: Solve for x
    x = 149,414,624.08/13,810.68
  6. Step 6: Final answer
    x = 10,818.77

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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.