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Finding the Fourth Proportional to 9,715.90, 13,395.99 and 7,194.46

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Solution

The fourth proportional to 9,715.90, 13,395.99 and 7,194.46 is: 9,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.90 : 13,395.99 = 7,194.46 : x
  2. Step 2: Convert to fraction form
    9,715.90/13,395.99 = 7,194.46/x
  3. Step 3: Cross multiply
    9,715.90x = 13,395.99 × 7,194.46
  4. Step 4: Simplify right side
    9,715.90x = 96,376,914.22
  5. Step 5: Solve for x
    x = 96,376,914.22/9,715.90
  6. Step 6: Final answer
    x = 9,919.50

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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.