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Finding the Fourth Proportional to 6,972.35, 9,618.63 and 4,453.20

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Solution

The fourth proportional to 6,972.35, 9,618.63 and 4,453.20 is: 6,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.35 : 9,618.63 = 4,453.20 : x
  2. Step 2: Convert to fraction form
    6,972.35/9,618.63 = 4,453.20/x
  3. Step 3: Cross multiply
    6,972.35x = 9,618.63 × 4,453.20
  4. Step 4: Simplify right side
    6,972.35x = 42,833,683.12
  5. Step 5: Solve for x
    x = 42,833,683.12/6,972.35
  6. Step 6: Final answer
    x = 6,143.37

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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.