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Finding the Fourth Proportional to 11,764.53, 17,642.43 and 7,089.81

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Solution

The fourth proportional to 11,764.53, 17,642.43 and 7,089.81 is: 10,632.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.53 : 17,642.43 = 7,089.81 : x
  2. Step 2: Convert to fraction form
    11,764.53/17,642.43 = 7,089.81/x
  3. Step 3: Cross multiply
    11,764.53x = 17,642.43 × 7,089.81
  4. Step 4: Simplify right side
    11,764.53x = 125,081,476.64
  5. Step 5: Solve for x
    x = 125,081,476.64/11,764.53
  6. Step 6: Final answer
    x = 10,632.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.