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Finding the Fourth Proportional to 9,256.84, 13,886.20 and 3,412.08

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Solution

The fourth proportional to 9,256.84, 13,886.20 and 3,412.08 is: 5,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.84 : 13,886.20 = 3,412.08 : x
  2. Step 2: Convert to fraction form
    9,256.84/13,886.20 = 3,412.08/x
  3. Step 3: Cross multiply
    9,256.84x = 13,886.20 × 3,412.08
  4. Step 4: Simplify right side
    9,256.84x = 47,380,825.30
  5. Step 5: Solve for x
    x = 47,380,825.30/9,256.84
  6. Step 6: Final answer
    x = 5,118.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.