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Finding the Fourth Proportional to 9,640.73, 14,458.00 and 3,065.38

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Solution

The fourth proportional to 9,640.73, 14,458.00 and 3,065.38 is: 4,597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.73 : 14,458.00 = 3,065.38 : x
  2. Step 2: Convert to fraction form
    9,640.73/14,458.00 = 3,065.38/x
  3. Step 3: Cross multiply
    9,640.73x = 14,458.00 × 3,065.38
  4. Step 4: Simplify right side
    9,640.73x = 44,319,220.23
  5. Step 5: Solve for x
    x = 44,319,220.23/9,640.73
  6. Step 6: Final answer
    x = 4,597.08

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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.