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Finding the Fourth Proportional to 3,818, 5,268.80 and 2,139.40

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Solution

The fourth proportional to 3,818, 5,268.80 and 2,139.40 is: 2,952.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818 : 5,268.80 = 2,139.40 : x
  2. Step 2: Convert to fraction form
    3,818/5,268.80 = 2,139.40/x
  3. Step 3: Cross multiply
    3,818x = 5,268.80 × 2,139.40
  4. Step 4: Simplify right side
    3,818x = 11,272,070.72
  5. Step 5: Solve for x
    x = 11,272,070.72/3,818
  6. Step 6: Final answer
    x = 2,952.35

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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.