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Finding the Fourth Proportional to 9,815.60, 14,724.21 and 9,317.45

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Solution

The fourth proportional to 9,815.60, 14,724.21 and 9,317.45 is: 13,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,815.60 : 14,724.21 = 9,317.45 : x
  2. Step 2: Convert to fraction form
    9,815.60/14,724.21 = 9,317.45/x
  3. Step 3: Cross multiply
    9,815.60x = 14,724.21 × 9,317.45
  4. Step 4: Simplify right side
    9,815.60x = 137,192,016.84
  5. Step 5: Solve for x
    x = 137,192,016.84/9,815.60
  6. Step 6: Final answer
    x = 13,976.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.