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Finding the Fourth Proportional to 11,802.14, 17,720.64 and 7,877.84

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Solution

The fourth proportional to 11,802.14, 17,720.64 and 7,877.84 is: 11,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.14 : 17,720.64 = 7,877.84 : x
  2. Step 2: Convert to fraction form
    11,802.14/17,720.64 = 7,877.84/x
  3. Step 3: Cross multiply
    11,802.14x = 17,720.64 × 7,877.84
  4. Step 4: Simplify right side
    11,802.14x = 139,600,278.01
  5. Step 5: Solve for x
    x = 139,600,278.01/11,802.14
  6. Step 6: Final answer
    x = 11,828.39

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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.