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Finding the Fourth Proportional to 7,504.56, 10,346.67 and 5,142.60

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Solution

The fourth proportional to 7,504.56, 10,346.67 and 5,142.60 is: 7,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.56 : 10,346.67 = 5,142.60 : x
  2. Step 2: Convert to fraction form
    7,504.56/10,346.67 = 5,142.60/x
  3. Step 3: Cross multiply
    7,504.56x = 10,346.67 × 5,142.60
  4. Step 4: Simplify right side
    7,504.56x = 53,208,785.14
  5. Step 5: Solve for x
    x = 53,208,785.14/7,504.56
  6. Step 6: Final answer
    x = 7,090.19

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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.