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Finding the Fourth Proportional to 11,609.40, 16,015.32 and 6,890.34

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Solution

The fourth proportional to 11,609.40, 16,015.32 and 6,890.34 is: 9,505.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,609.40 : 16,015.32 = 6,890.34 : x
  2. Step 2: Convert to fraction form
    11,609.40/16,015.32 = 6,890.34/x
  3. Step 3: Cross multiply
    11,609.40x = 16,015.32 × 6,890.34
  4. Step 4: Simplify right side
    11,609.40x = 110,351,000.01
  5. Step 5: Solve for x
    x = 110,351,000.01/11,609.40
  6. Step 6: Final answer
    x = 9,505.31

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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.