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Finding the Fourth Proportional to 9,735.05, 13,406.07 and 8,458.34

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Solution

The fourth proportional to 9,735.05, 13,406.07 and 8,458.34 is: 11,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.05 : 13,406.07 = 8,458.34 : x
  2. Step 2: Convert to fraction form
    9,735.05/13,406.07 = 8,458.34/x
  3. Step 3: Cross multiply
    9,735.05x = 13,406.07 × 8,458.34
  4. Step 4: Simplify right side
    9,735.05x = 113,393,031.09
  5. Step 5: Solve for x
    x = 113,393,031.09/9,735.05
  6. Step 6: Final answer
    x = 11,647.92

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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.