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Finding the Fourth Proportional to 5,290.23, 7,300.42 and 3,052.30

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Solution

The fourth proportional to 5,290.23, 7,300.42 and 3,052.30 is: 4,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.23 : 7,300.42 = 3,052.30 : x
  2. Step 2: Convert to fraction form
    5,290.23/7,300.42 = 3,052.30/x
  3. Step 3: Cross multiply
    5,290.23x = 7,300.42 × 3,052.30
  4. Step 4: Simplify right side
    5,290.23x = 22,283,071.97
  5. Step 5: Solve for x
    x = 22,283,071.97/5,290.23
  6. Step 6: Final answer
    x = 4,212.12

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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.