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Finding the Fourth Proportional to 3,989, 5,505.14 and 2,333.32

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Solution

The fourth proportional to 3,989, 5,505.14 and 2,333.32 is: 3,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989 : 5,505.14 = 2,333.32 : x
  2. Step 2: Convert to fraction form
    3,989/5,505.14 = 2,333.32/x
  3. Step 3: Cross multiply
    3,989x = 5,505.14 × 2,333.32
  4. Step 4: Simplify right side
    3,989x = 12,845,253.26
  5. Step 5: Solve for x
    x = 12,845,253.26/3,989
  6. Step 6: Final answer
    x = 3,220.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.