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Finding the Fourth Proportional to 11,185.84, 15,431.08 and 7,408.08

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Solution

The fourth proportional to 11,185.84, 15,431.08 and 7,408.08 is: 10,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.84 : 15,431.08 = 7,408.08 : x
  2. Step 2: Convert to fraction form
    11,185.84/15,431.08 = 7,408.08/x
  3. Step 3: Cross multiply
    11,185.84x = 15,431.08 × 7,408.08
  4. Step 4: Simplify right side
    11,185.84x = 114,314,675.13
  5. Step 5: Solve for x
    x = 114,314,675.13/11,185.84
  6. Step 6: Final answer
    x = 10,219.59

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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.