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Finding the Fourth Proportional to 7,456.67, 10,290.23 and 4,270.02

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Solution

The fourth proportional to 7,456.67, 10,290.23 and 4,270.02 is: 5,892.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.67 : 10,290.23 = 4,270.02 : x
  2. Step 2: Convert to fraction form
    7,456.67/10,290.23 = 4,270.02/x
  3. Step 3: Cross multiply
    7,456.67x = 10,290.23 × 4,270.02
  4. Step 4: Simplify right side
    7,456.67x = 43,939,487.90
  5. Step 5: Solve for x
    x = 43,939,487.90/7,456.67
  6. Step 6: Final answer
    x = 5,892.64

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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.