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Finding the Fourth Proportional to 9,276.33, 12,786.36 and 7,256.16

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Solution

The fourth proportional to 9,276.33, 12,786.36 and 7,256.16 is: 10,001.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,276.33 : 12,786.36 = 7,256.16 : x
  2. Step 2: Convert to fraction form
    9,276.33/12,786.36 = 7,256.16/x
  3. Step 3: Cross multiply
    9,276.33x = 12,786.36 × 7,256.16
  4. Step 4: Simplify right side
    9,276.33x = 92,779,846.77
  5. Step 5: Solve for x
    x = 92,779,846.77/9,276.33
  6. Step 6: Final answer
    x = 10,001.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.