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Finding the Fourth Proportional to 9,458.21, 13,040.77 and 5,915.27

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Solution

The fourth proportional to 9,458.21, 13,040.77 and 5,915.27 is: 8,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.21 : 13,040.77 = 5,915.27 : x
  2. Step 2: Convert to fraction form
    9,458.21/13,040.77 = 5,915.27/x
  3. Step 3: Cross multiply
    9,458.21x = 13,040.77 × 5,915.27
  4. Step 4: Simplify right side
    9,458.21x = 77,139,715.55
  5. Step 5: Solve for x
    x = 77,139,715.55/9,458.21
  6. Step 6: Final answer
    x = 8,155.85

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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.