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Finding the Fourth Proportional to 11,438.01, 15,786.50 and 8,303.31

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Solution

The fourth proportional to 11,438.01, 15,786.50 and 8,303.31 is: 11,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.01 : 15,786.50 = 8,303.31 : x
  2. Step 2: Convert to fraction form
    11,438.01/15,786.50 = 8,303.31/x
  3. Step 3: Cross multiply
    11,438.01x = 15,786.50 × 8,303.31
  4. Step 4: Simplify right side
    11,438.01x = 131,080,161.80
  5. Step 5: Solve for x
    x = 131,080,161.80/11,438.01
  6. Step 6: Final answer
    x = 11,460.05

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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.