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Finding the Fourth Proportional to 3,785.66, 5,678.76 and 1,012.26

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Solution

The fourth proportional to 3,785.66, 5,678.76 and 1,012.26 is: 1,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.66 : 5,678.76 = 1,012.26 : x
  2. Step 2: Convert to fraction form
    3,785.66/5,678.76 = 1,012.26/x
  3. Step 3: Cross multiply
    3,785.66x = 5,678.76 × 1,012.26
  4. Step 4: Simplify right side
    3,785.66x = 5,748,406.69
  5. Step 5: Solve for x
    x = 5,748,406.69/3,785.66
  6. Step 6: Final answer
    x = 1,518.47

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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.