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Finding the Fourth Proportional to 5,182.79, 7,812.86 and 4,844.21

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Solution

The fourth proportional to 5,182.79, 7,812.86 and 4,844.21 is: 7,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.79 : 7,812.86 = 4,844.21 : x
  2. Step 2: Convert to fraction form
    5,182.79/7,812.86 = 4,844.21/x
  3. Step 3: Cross multiply
    5,182.79x = 7,812.86 × 4,844.21
  4. Step 4: Simplify right side
    5,182.79x = 37,847,071.26
  5. Step 5: Solve for x
    x = 37,847,071.26/5,182.79
  6. Step 6: Final answer
    x = 7,302.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.