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Finding the Fourth Proportional to 8,051.51, 11,109.31 and 7,786.03

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Solution

The fourth proportional to 8,051.51, 11,109.31 and 7,786.03 is: 10,743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.51 : 11,109.31 = 7,786.03 : x
  2. Step 2: Convert to fraction form
    8,051.51/11,109.31 = 7,786.03/x
  3. Step 3: Cross multiply
    8,051.51x = 11,109.31 × 7,786.03
  4. Step 4: Simplify right side
    8,051.51x = 86,497,412.63
  5. Step 5: Solve for x
    x = 86,497,412.63/8,051.51
  6. Step 6: Final answer
    x = 10,743.01

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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.