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Finding the Fourth Proportional to 9,643, 13,307.34 and 5,227

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Solution

The fourth proportional to 9,643, 13,307.34 and 5,227 is: 7,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643 : 13,307.34 = 5,227 : x
  2. Step 2: Convert to fraction form
    9,643/13,307.34 = 5,227/x
  3. Step 3: Cross multiply
    9,643x = 13,307.34 × 5,227
  4. Step 4: Simplify right side
    9,643x = 69,557,466.18
  5. Step 5: Solve for x
    x = 69,557,466.18/9,643
  6. Step 6: Final answer
    x = 7,213.26

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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.