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Finding the Fourth Proportional to 9,492.20, 13,099.23 and 5,300.45

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Solution

The fourth proportional to 9,492.20, 13,099.23 and 5,300.45 is: 7,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.20 : 13,099.23 = 5,300.45 : x
  2. Step 2: Convert to fraction form
    9,492.20/13,099.23 = 5,300.45/x
  3. Step 3: Cross multiply
    9,492.20x = 13,099.23 × 5,300.45
  4. Step 4: Simplify right side
    9,492.20x = 69,431,813.65
  5. Step 5: Solve for x
    x = 69,431,813.65/9,492.20
  6. Step 6: Final answer
    x = 7,314.62

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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.