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Finding the Fourth Proportional to 3,139.49, 4,706.81 and 1,496.81

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Solution

The fourth proportional to 3,139.49, 4,706.81 and 1,496.81 is: 2,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.49 : 4,706.81 = 1,496.81 : x
  2. Step 2: Convert to fraction form
    3,139.49/4,706.81 = 1,496.81/x
  3. Step 3: Cross multiply
    3,139.49x = 4,706.81 × 1,496.81
  4. Step 4: Simplify right side
    3,139.49x = 7,045,210.17
  5. Step 5: Solve for x
    x = 7,045,210.17/3,139.49
  6. Step 6: Final answer
    x = 2,244.06

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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.