Home / 3,136.24-4,705.10-945.14

Finding the Fourth Proportional to 3,136.24, 4,705.10 and 945.14

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Solution

The fourth proportional to 3,136.24, 4,705.10 and 945.14 is: 1,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.24 : 4,705.10 = 945.14 : x
  2. Step 2: Convert to fraction form
    3,136.24/4,705.10 = 945.14/x
  3. Step 3: Cross multiply
    3,136.24x = 4,705.10 × 945.14
  4. Step 4: Simplify right side
    3,136.24x = 4,446,978.21
  5. Step 5: Solve for x
    x = 4,446,978.21/3,136.24
  6. Step 6: Final answer
    x = 1,417.93

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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.