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Finding the Fourth Proportional to 3,842.66, 5,302.80 and 2,164.06

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Solution

The fourth proportional to 3,842.66, 5,302.80 and 2,164.06 is: 2,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.66 : 5,302.80 = 2,164.06 : x
  2. Step 2: Convert to fraction form
    3,842.66/5,302.80 = 2,164.06/x
  3. Step 3: Cross multiply
    3,842.66x = 5,302.80 × 2,164.06
  4. Step 4: Simplify right side
    3,842.66x = 11,475,564.11
  5. Step 5: Solve for x
    x = 11,475,564.11/3,842.66
  6. Step 6: Final answer
    x = 2,986.36

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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.