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Finding the Fourth Proportional to 5,100.36, 7,041.42 and 3,895.86

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Solution

The fourth proportional to 5,100.36, 7,041.42 and 3,895.86 is: 5,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.36 : 7,041.42 = 3,895.86 : x
  2. Step 2: Convert to fraction form
    5,100.36/7,041.42 = 3,895.86/x
  3. Step 3: Cross multiply
    5,100.36x = 7,041.42 × 3,895.86
  4. Step 4: Simplify right side
    5,100.36x = 27,432,386.52
  5. Step 5: Solve for x
    x = 27,432,386.52/5,100.36
  6. Step 6: Final answer
    x = 5,378.52

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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.