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Finding the Fourth Proportional to 13,005.51, 19,509.08 and 5,213.31

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Solution

The fourth proportional to 13,005.51, 19,509.08 and 5,213.31 is: 7,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.51 : 19,509.08 = 5,213.31 : x
  2. Step 2: Convert to fraction form
    13,005.51/19,509.08 = 5,213.31/x
  3. Step 3: Cross multiply
    13,005.51x = 19,509.08 × 5,213.31
  4. Step 4: Simplify right side
    13,005.51x = 101,706,855.79
  5. Step 5: Solve for x
    x = 101,706,855.79/13,005.51
  6. Step 6: Final answer
    x = 7,820.29

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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.