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Finding the Fourth Proportional to 5,349.06, 7,384.95 and 3,489.30

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Solution

The fourth proportional to 5,349.06, 7,384.95 and 3,489.30 is: 4,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.06 : 7,384.95 = 3,489.30 : x
  2. Step 2: Convert to fraction form
    5,349.06/7,384.95 = 3,489.30/x
  3. Step 3: Cross multiply
    5,349.06x = 7,384.95 × 3,489.30
  4. Step 4: Simplify right side
    5,349.06x = 25,768,306.04
  5. Step 5: Solve for x
    x = 25,768,306.04/5,349.06
  6. Step 6: Final answer
    x = 4,817.35

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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.