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Finding the Fourth Proportional to 3,415.84, 5,124.16 and 1,223.98

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Solution

The fourth proportional to 3,415.84, 5,124.16 and 1,223.98 is: 1,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.84 : 5,124.16 = 1,223.98 : x
  2. Step 2: Convert to fraction form
    3,415.84/5,124.16 = 1,223.98/x
  3. Step 3: Cross multiply
    3,415.84x = 5,124.16 × 1,223.98
  4. Step 4: Simplify right side
    3,415.84x = 6,271,858.08
  5. Step 5: Solve for x
    x = 6,271,858.08/3,415.84
  6. Step 6: Final answer
    x = 1,836.11

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Why These Related Problems?

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