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Finding the Fourth Proportional to 9,803.50, 13,539.92 and 6,461.13

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Solution

The fourth proportional to 9,803.50, 13,539.92 and 6,461.13 is: 8,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.50 : 13,539.92 = 6,461.13 : x
  2. Step 2: Convert to fraction form
    9,803.50/13,539.92 = 6,461.13/x
  3. Step 3: Cross multiply
    9,803.50x = 13,539.92 × 6,461.13
  4. Step 4: Simplify right side
    9,803.50x = 87,483,201.78
  5. Step 5: Solve for x
    x = 87,483,201.78/9,803.50
  6. Step 6: Final answer
    x = 8,923.67

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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.