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Finding the Fourth Proportional to 9,505.70, 13,118.30 and 5,313.95

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Solution

The fourth proportional to 9,505.70, 13,118.30 and 5,313.95 is: 7,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.70 : 13,118.30 = 5,313.95 : x
  2. Step 2: Convert to fraction form
    9,505.70/13,118.30 = 5,313.95/x
  3. Step 3: Cross multiply
    9,505.70x = 13,118.30 × 5,313.95
  4. Step 4: Simplify right side
    9,505.70x = 69,710,016.44
  5. Step 5: Solve for x
    x = 69,710,016.44/9,505.70
  6. Step 6: Final answer
    x = 7,333.49

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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.