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Finding the Fourth Proportional to 5,138.14, 7,078.33 and 4,888

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Solution

The fourth proportional to 5,138.14, 7,078.33 and 4,888 is: 6,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.14 : 7,078.33 = 4,888 : x
  2. Step 2: Convert to fraction form
    5,138.14/7,078.33 = 4,888/x
  3. Step 3: Cross multiply
    5,138.14x = 7,078.33 × 4,888
  4. Step 4: Simplify right side
    5,138.14x = 34,598,877.04
  5. Step 5: Solve for x
    x = 34,598,877.04/5,138.14
  6. Step 6: Final answer
    x = 6,733.74

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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.