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Finding the Fourth Proportional to 8,938.56, 13,407 and 7,014

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Solution

The fourth proportional to 8,938.56, 13,407 and 7,014 is: 10,520.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,938.56 : 13,407 = 7,014 : x
  2. Step 2: Convert to fraction form
    8,938.56/13,407 = 7,014/x
  3. Step 3: Cross multiply
    8,938.56x = 13,407 × 7,014
  4. Step 4: Simplify right side
    8,938.56x = 94,036,698
  5. Step 5: Solve for x
    x = 94,036,698/8,938.56
  6. Step 6: Final answer
    x = 10,520.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.