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Finding the Fourth Proportional to 4,098, 5,655.36 and 2,235.12

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Solution

The fourth proportional to 4,098, 5,655.36 and 2,235.12 is: 3,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 5,655.36 = 2,235.12 : x
  2. Step 2: Convert to fraction form
    4,098/5,655.36 = 2,235.12/x
  3. Step 3: Cross multiply
    4,098x = 5,655.36 × 2,235.12
  4. Step 4: Simplify right side
    4,098x = 12,640,408.24
  5. Step 5: Solve for x
    x = 12,640,408.24/4,098
  6. Step 6: Final answer
    x = 3,084.53

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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.