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Finding the Fourth Proportional to 4,667.84, 7,000 and 1,380

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Solution

The fourth proportional to 4,667.84, 7,000 and 1,380 is: 2,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.84 : 7,000 = 1,380 : x
  2. Step 2: Convert to fraction form
    4,667.84/7,000 = 1,380/x
  3. Step 3: Cross multiply
    4,667.84x = 7,000 × 1,380
  4. Step 4: Simplify right side
    4,667.84x = 9,660,000
  5. Step 5: Solve for x
    x = 9,660,000/4,667.84
  6. Step 6: Final answer
    x = 2,069.48

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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.