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Finding the Fourth Proportional to 9,430, 13,013.94 and 5,239.60

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Solution

The fourth proportional to 9,430, 13,013.94 and 5,239.60 is: 7,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430 : 13,013.94 = 5,239.60 : x
  2. Step 2: Convert to fraction form
    9,430/13,013.94 = 5,239.60/x
  3. Step 3: Cross multiply
    9,430x = 13,013.94 × 5,239.60
  4. Step 4: Simplify right side
    9,430x = 68,187,840.02
  5. Step 5: Solve for x
    x = 68,187,840.02/9,430
  6. Step 6: Final answer
    x = 7,230.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.