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Finding the Fourth Proportional to 9,411.10, 12,989.02 and 5,431.66

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Solution

The fourth proportional to 9,411.10, 12,989.02 and 5,431.66 is: 7,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.10 : 12,989.02 = 5,431.66 : x
  2. Step 2: Convert to fraction form
    9,411.10/12,989.02 = 5,431.66/x
  3. Step 3: Cross multiply
    9,411.10x = 12,989.02 × 5,431.66
  4. Step 4: Simplify right side
    9,411.10x = 70,551,940.37
  5. Step 5: Solve for x
    x = 70,551,940.37/9,411.10
  6. Step 6: Final answer
    x = 7,496.67

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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.