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Finding the Fourth Proportional to 9,896.31, 13,647.49 and 5,916.78

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Solution

The fourth proportional to 9,896.31, 13,647.49 and 5,916.78 is: 8,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.31 : 13,647.49 = 5,916.78 : x
  2. Step 2: Convert to fraction form
    9,896.31/13,647.49 = 5,916.78/x
  3. Step 3: Cross multiply
    9,896.31x = 13,647.49 × 5,916.78
  4. Step 4: Simplify right side
    9,896.31x = 80,749,181.09
  5. Step 5: Solve for x
    x = 80,749,181.09/9,896.31
  6. Step 6: Final answer
    x = 8,159.52

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1.5x scale

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.