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Finding the Fourth Proportional to 13,078, 18,047.64 and 7,190

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Solution

The fourth proportional to 13,078, 18,047.64 and 7,190 is: 9,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,078 : 18,047.64 = 7,190 : x
  2. Step 2: Convert to fraction form
    13,078/18,047.64 = 7,190/x
  3. Step 3: Cross multiply
    13,078x = 18,047.64 × 7,190
  4. Step 4: Simplify right side
    13,078x = 129,762,531.60
  5. Step 5: Solve for x
    x = 129,762,531.60/13,078
  6. Step 6: Final answer
    x = 9,922.20

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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.