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Finding the Fourth Proportional to 10,078.44, 13,900.68 and 7,095.12

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Solution

The fourth proportional to 10,078.44, 13,900.68 and 7,095.12 is: 9,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.44 : 13,900.68 = 7,095.12 : x
  2. Step 2: Convert to fraction form
    10,078.44/13,900.68 = 7,095.12/x
  3. Step 3: Cross multiply
    10,078.44x = 13,900.68 × 7,095.12
  4. Step 4: Simplify right side
    10,078.44x = 98,626,992.68
  5. Step 5: Solve for x
    x = 98,626,992.68/10,078.44
  6. Step 6: Final answer
    x = 9,785.94

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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.