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Finding the Fourth Proportional to 9,930.90, 13,713.53 and 7,408.63

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Solution

The fourth proportional to 9,930.90, 13,713.53 and 7,408.63 is: 10,230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.90 : 13,713.53 = 7,408.63 : x
  2. Step 2: Convert to fraction form
    9,930.90/13,713.53 = 7,408.63/x
  3. Step 3: Cross multiply
    9,930.90x = 13,713.53 × 7,408.63
  4. Step 4: Simplify right side
    9,930.90x = 101,598,459.73
  5. Step 5: Solve for x
    x = 101,598,459.73/9,930.90
  6. Step 6: Final answer
    x = 10,230.54

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1.5x scale

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.