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Finding the Fourth Proportional to 2,709, 3,737.76 and 1,530

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Solution

The fourth proportional to 2,709, 3,737.76 and 1,530 is: 2,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709 : 3,737.76 = 1,530 : x
  2. Step 2: Convert to fraction form
    2,709/3,737.76 = 1,530/x
  3. Step 3: Cross multiply
    2,709x = 3,737.76 × 1,530
  4. Step 4: Simplify right side
    2,709x = 5,718,772.80
  5. Step 5: Solve for x
    x = 5,718,772.80/2,709
  6. Step 6: Final answer
    x = 2,111.03

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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.