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Finding the Fourth Proportional to 13,266.51, 19,908 and 7,722.33

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Solution

The fourth proportional to 13,266.51, 19,908 and 7,722.33 is: 11,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.51 : 19,908 = 7,722.33 : x
  2. Step 2: Convert to fraction form
    13,266.51/19,908 = 7,722.33/x
  3. Step 3: Cross multiply
    13,266.51x = 19,908 × 7,722.33
  4. Step 4: Simplify right side
    13,266.51x = 153,736,145.64
  5. Step 5: Solve for x
    x = 153,736,145.64/13,266.51
  6. Step 6: Final answer
    x = 11,588.29

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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.