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Finding the Fourth Proportional to 11,895.05, 16,407.74 and 7,651.64

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Solution

The fourth proportional to 11,895.05, 16,407.74 and 7,651.64 is: 10,554.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.05 : 16,407.74 = 7,651.64 : x
  2. Step 2: Convert to fraction form
    11,895.05/16,407.74 = 7,651.64/x
  3. Step 3: Cross multiply
    11,895.05x = 16,407.74 × 7,651.64
  4. Step 4: Simplify right side
    11,895.05x = 125,545,999.40
  5. Step 5: Solve for x
    x = 125,545,999.40/11,895.05
  6. Step 6: Final answer
    x = 10,554.48

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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.