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Finding the Fourth Proportional to 5,290.64, 7,302.50 and 3,300

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Solution

The fourth proportional to 5,290.64, 7,302.50 and 3,300 is: 4,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.64 : 7,302.50 = 3,300 : x
  2. Step 2: Convert to fraction form
    5,290.64/7,302.50 = 3,300/x
  3. Step 3: Cross multiply
    5,290.64x = 7,302.50 × 3,300
  4. Step 4: Simplify right side
    5,290.64x = 24,098,233.50
  5. Step 5: Solve for x
    x = 24,098,233.50/5,290.64
  6. Step 6: Final answer
    x = 4,554.88

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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.