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Finding the Fourth Proportional to 9,303.42, 12,839 and 5,270.19

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Solution

The fourth proportional to 9,303.42, 12,839 and 5,270.19 is: 7,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.42 : 12,839 = 5,270.19 : x
  2. Step 2: Convert to fraction form
    9,303.42/12,839 = 5,270.19/x
  3. Step 3: Cross multiply
    9,303.42x = 12,839 × 5,270.19
  4. Step 4: Simplify right side
    9,303.42x = 67,663,969.41
  5. Step 5: Solve for x
    x = 67,663,969.41/9,303.42
  6. Step 6: Final answer
    x = 7,273.02

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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.