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Finding the Fourth Proportional to 13,207.66, 19,829.09 and 7,664.99

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Solution

The fourth proportional to 13,207.66, 19,829.09 and 7,664.99 is: 11,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.66 : 19,829.09 = 7,664.99 : x
  2. Step 2: Convert to fraction form
    13,207.66/19,829.09 = 7,664.99/x
  3. Step 3: Cross multiply
    13,207.66x = 19,829.09 × 7,664.99
  4. Step 4: Simplify right side
    13,207.66x = 151,989,677.41
  5. Step 5: Solve for x
    x = 151,989,677.41/13,207.66
  6. Step 6: Final answer
    x = 11,507.69

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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.