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Finding the Fourth Proportional to 3,072.68, 4,611 and 1,430

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Solution

The fourth proportional to 3,072.68, 4,611 and 1,430 is: 2,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.68 : 4,611 = 1,430 : x
  2. Step 2: Convert to fraction form
    3,072.68/4,611 = 1,430/x
  3. Step 3: Cross multiply
    3,072.68x = 4,611 × 1,430
  4. Step 4: Simplify right side
    3,072.68x = 6,593,730
  5. Step 5: Solve for x
    x = 6,593,730/3,072.68
  6. Step 6: Final answer
    x = 2,145.92

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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.