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Finding the Fourth Proportional to 9,827, 13,561.26 and 5,411

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Solution

The fourth proportional to 9,827, 13,561.26 and 5,411 is: 7,467.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827 : 13,561.26 = 5,411 : x
  2. Step 2: Convert to fraction form
    9,827/13,561.26 = 5,411/x
  3. Step 3: Cross multiply
    9,827x = 13,561.26 × 5,411
  4. Step 4: Simplify right side
    9,827x = 73,379,977.86
  5. Step 5: Solve for x
    x = 73,379,977.86/9,827
  6. Step 6: Final answer
    x = 7,467.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.