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Finding the Fourth Proportional to 3,681.87, 5,491.70 and 3,127.83

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Solution

The fourth proportional to 3,681.87, 5,491.70 and 3,127.83 is: 4,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.87 : 5,491.70 = 3,127.83 : x
  2. Step 2: Convert to fraction form
    3,681.87/5,491.70 = 3,127.83/x
  3. Step 3: Cross multiply
    3,681.87x = 5,491.70 × 3,127.83
  4. Step 4: Simplify right side
    3,681.87x = 17,177,088.37
  5. Step 5: Solve for x
    x = 17,177,088.37/3,681.87
  6. Step 6: Final answer
    x = 4,665.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.