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Finding the Fourth Proportional to 3,537, 5,307.75 and 2,223.41

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Solution

The fourth proportional to 3,537, 5,307.75 and 2,223.41 is: 3,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537 : 5,307.75 = 2,223.41 : x
  2. Step 2: Convert to fraction form
    3,537/5,307.75 = 2,223.41/x
  3. Step 3: Cross multiply
    3,537x = 5,307.75 × 2,223.41
  4. Step 4: Simplify right side
    3,537x = 11,801,277.89
  5. Step 5: Solve for x
    x = 11,801,277.89/3,537
  6. Step 6: Final answer
    x = 3,336.52

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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.