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Finding the Fourth Proportional to 9,402.53, 12,975.62 and 5,153.99

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Solution

The fourth proportional to 9,402.53, 12,975.62 and 5,153.99 is: 7,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.53 : 12,975.62 = 5,153.99 : x
  2. Step 2: Convert to fraction form
    9,402.53/12,975.62 = 5,153.99/x
  3. Step 3: Cross multiply
    9,402.53x = 12,975.62 × 5,153.99
  4. Step 4: Simplify right side
    9,402.53x = 66,876,125.08
  5. Step 5: Solve for x
    x = 66,876,125.08/9,402.53
  6. Step 6: Final answer
    x = 7,112.57

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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.