Home / 4,827-7,241.48-1,706.88

Finding the Fourth Proportional to 4,827, 7,241.48 and 1,706.88

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Solution

The fourth proportional to 4,827, 7,241.48 and 1,706.88 is: 2,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827 : 7,241.48 = 1,706.88 : x
  2. Step 2: Convert to fraction form
    4,827/7,241.48 = 1,706.88/x
  3. Step 3: Cross multiply
    4,827x = 7,241.48 × 1,706.88
  4. Step 4: Simplify right side
    4,827x = 12,360,337.38
  5. Step 5: Solve for x
    x = 12,360,337.38/4,827
  6. Step 6: Final answer
    x = 2,560.67

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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.