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Finding the Fourth Proportional to 2,491.50, 3,737.24 and 848.06

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Solution

The fourth proportional to 2,491.50, 3,737.24 and 848.06 is: 1,272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.50 : 3,737.24 = 848.06 : x
  2. Step 2: Convert to fraction form
    2,491.50/3,737.24 = 848.06/x
  3. Step 3: Cross multiply
    2,491.50x = 3,737.24 × 848.06
  4. Step 4: Simplify right side
    2,491.50x = 3,169,403.75
  5. Step 5: Solve for x
    x = 3,169,403.75/2,491.50
  6. Step 6: Final answer
    x = 1,272.09

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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.