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Finding the Fourth Proportional to 9,583.54, 13,225.28 and 5,391.78

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Solution

The fourth proportional to 9,583.54, 13,225.28 and 5,391.78 is: 7,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.54 : 13,225.28 = 5,391.78 : x
  2. Step 2: Convert to fraction form
    9,583.54/13,225.28 = 5,391.78/x
  3. Step 3: Cross multiply
    9,583.54x = 13,225.28 × 5,391.78
  4. Step 4: Simplify right side
    9,583.54x = 71,307,800.20
  5. Step 5: Solve for x
    x = 71,307,800.20/9,583.54
  6. Step 6: Final answer
    x = 7,440.65

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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.