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Finding the Fourth Proportional to 11,649.78, 16,080.21 and 7,925.94

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Solution

The fourth proportional to 11,649.78, 16,080.21 and 7,925.94 is: 10,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.78 : 16,080.21 = 7,925.94 : x
  2. Step 2: Convert to fraction form
    11,649.78/16,080.21 = 7,925.94/x
  3. Step 3: Cross multiply
    11,649.78x = 16,080.21 × 7,925.94
  4. Step 4: Simplify right side
    11,649.78x = 127,450,779.65
  5. Step 5: Solve for x
    x = 127,450,779.65/11,649.78
  6. Step 6: Final answer
    x = 10,940.19

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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.