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Finding the Fourth Proportional to 5,091.81, 7,026.34 and 2,823.13

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Solution

The fourth proportional to 5,091.81, 7,026.34 and 2,823.13 is: 3,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.81 : 7,026.34 = 2,823.13 : x
  2. Step 2: Convert to fraction form
    5,091.81/7,026.34 = 2,823.13/x
  3. Step 3: Cross multiply
    5,091.81x = 7,026.34 × 2,823.13
  4. Step 4: Simplify right side
    5,091.81x = 19,836,271.24
  5. Step 5: Solve for x
    x = 19,836,271.24/5,091.81
  6. Step 6: Final answer
    x = 3,895.72

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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.