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Finding the Fourth Proportional to 5,186.83, 7,157.54 and 2,948.39

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Solution

The fourth proportional to 5,186.83, 7,157.54 and 2,948.39 is: 4,068.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.83 : 7,157.54 = 2,948.39 : x
  2. Step 2: Convert to fraction form
    5,186.83/7,157.54 = 2,948.39/x
  3. Step 3: Cross multiply
    5,186.83x = 7,157.54 × 2,948.39
  4. Step 4: Simplify right side
    5,186.83x = 21,103,219.36
  5. Step 5: Solve for x
    x = 21,103,219.36/5,186.83
  6. Step 6: Final answer
    x = 4,068.62

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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.