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Finding the Fourth Proportional to 5,283, 7,283.91 and 3,391.25

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Solution

The fourth proportional to 5,283, 7,283.91 and 3,391.25 is: 4,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283 : 7,283.91 = 3,391.25 : x
  2. Step 2: Convert to fraction form
    5,283/7,283.91 = 3,391.25/x
  3. Step 3: Cross multiply
    5,283x = 7,283.91 × 3,391.25
  4. Step 4: Simplify right side
    5,283x = 24,701,559.79
  5. Step 5: Solve for x
    x = 24,701,559.79/5,283
  6. Step 6: Final answer
    x = 4,675.67

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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.