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Finding the Fourth Proportional to 11,491.92, 15,857.73 and 6,455

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Solution

The fourth proportional to 11,491.92, 15,857.73 and 6,455 is: 8,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.92 : 15,857.73 = 6,455 : x
  2. Step 2: Convert to fraction form
    11,491.92/15,857.73 = 6,455/x
  3. Step 3: Cross multiply
    11,491.92x = 15,857.73 × 6,455
  4. Step 4: Simplify right side
    11,491.92x = 102,361,647.15
  5. Step 5: Solve for x
    x = 102,361,647.15/11,491.92
  6. Step 6: Final answer
    x = 8,907.27

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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.