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Finding the Fourth Proportional to 9,715.50, 13,400.10 and 6,736.32

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Solution

The fourth proportional to 9,715.50, 13,400.10 and 6,736.32 is: 9,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.50 : 13,400.10 = 6,736.32 : x
  2. Step 2: Convert to fraction form
    9,715.50/13,400.10 = 6,736.32/x
  3. Step 3: Cross multiply
    9,715.50x = 13,400.10 × 6,736.32
  4. Step 4: Simplify right side
    9,715.50x = 90,267,361.63
  5. Step 5: Solve for x
    x = 90,267,361.63/9,715.50
  6. Step 6: Final answer
    x = 9,291.07

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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.