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Finding the Fourth Proportional to 5,200.42, 7,800.15 and 2,701.48

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Solution

The fourth proportional to 5,200.42, 7,800.15 and 2,701.48 is: 4,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.42 : 7,800.15 = 2,701.48 : x
  2. Step 2: Convert to fraction form
    5,200.42/7,800.15 = 2,701.48/x
  3. Step 3: Cross multiply
    5,200.42x = 7,800.15 × 2,701.48
  4. Step 4: Simplify right side
    5,200.42x = 21,071,949.22
  5. Step 5: Solve for x
    x = 21,071,949.22/5,200.42
  6. Step 6: Final answer
    x = 4,051.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.