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Finding the Fourth Proportional to 7,182.47, 10,777.29 and 3,236.49

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Solution

The fourth proportional to 7,182.47, 10,777.29 and 3,236.49 is: 4,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.47 : 10,777.29 = 3,236.49 : x
  2. Step 2: Convert to fraction form
    7,182.47/10,777.29 = 3,236.49/x
  3. Step 3: Cross multiply
    7,182.47x = 10,777.29 × 3,236.49
  4. Step 4: Simplify right side
    7,182.47x = 34,880,579.18
  5. Step 5: Solve for x
    x = 34,880,579.18/7,182.47
  6. Step 6: Final answer
    x = 4,856.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.