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Finding the Fourth Proportional to 7,796.12, 10,750.46 and 5,140.13

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Solution

The fourth proportional to 7,796.12, 10,750.46 and 5,140.13 is: 7,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.12 : 10,750.46 = 5,140.13 : x
  2. Step 2: Convert to fraction form
    7,796.12/10,750.46 = 5,140.13/x
  3. Step 3: Cross multiply
    7,796.12x = 10,750.46 × 5,140.13
  4. Step 4: Simplify right side
    7,796.12x = 55,258,682.51
  5. Step 5: Solve for x
    x = 55,258,682.51/7,796.12
  6. Step 6: Final answer
    x = 7,087.98

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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.