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Finding the Fourth Proportional to 11,953.98, 16,494.63 and 6,648.78

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Solution

The fourth proportional to 11,953.98, 16,494.63 and 6,648.78 is: 9,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.98 : 16,494.63 = 6,648.78 : x
  2. Step 2: Convert to fraction form
    11,953.98/16,494.63 = 6,648.78/x
  3. Step 3: Cross multiply
    11,953.98x = 16,494.63 × 6,648.78
  4. Step 4: Simplify right side
    11,953.98x = 109,669,166.05
  5. Step 5: Solve for x
    x = 109,669,166.05/11,953.98
  6. Step 6: Final answer
    x = 9,174.28

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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.