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Finding the Fourth Proportional to 2,491.72, 3,737.47 and 848.28

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Solution

The fourth proportional to 2,491.72, 3,737.47 and 848.28 is: 1,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.72 : 3,737.47 = 848.28 : x
  2. Step 2: Convert to fraction form
    2,491.72/3,737.47 = 848.28/x
  3. Step 3: Cross multiply
    2,491.72x = 3,737.47 × 848.28
  4. Step 4: Simplify right side
    2,491.72x = 3,170,418.93
  5. Step 5: Solve for x
    x = 3,170,418.93/2,491.72
  6. Step 6: Final answer
    x = 1,272.38

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1.5x scale

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.