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Finding the Fourth Proportional to 8,841, 13,256.64 and 7,869

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Solution

The fourth proportional to 8,841, 13,256.64 and 7,869 is: 11,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841 : 13,256.64 = 7,869 : x
  2. Step 2: Convert to fraction form
    8,841/13,256.64 = 7,869/x
  3. Step 3: Cross multiply
    8,841x = 13,256.64 × 7,869
  4. Step 4: Simplify right side
    8,841x = 104,316,500.16
  5. Step 5: Solve for x
    x = 104,316,500.16/8,841
  6. Step 6: Final answer
    x = 11,799.17

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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.