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Finding the Fourth Proportional to 3,911.16, 5,866.69 and 989.45

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Solution

The fourth proportional to 3,911.16, 5,866.69 and 989.45 is: 1,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.16 : 5,866.69 = 989.45 : x
  2. Step 2: Convert to fraction form
    3,911.16/5,866.69 = 989.45/x
  3. Step 3: Cross multiply
    3,911.16x = 5,866.69 × 989.45
  4. Step 4: Simplify right side
    3,911.16x = 5,804,796.42
  5. Step 5: Solve for x
    x = 5,804,796.42/3,911.16
  6. Step 6: Final answer
    x = 1,484.16

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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.