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Finding the Fourth Proportional to 3,888.60, 5,835.14 and 2,041.40

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Solution

The fourth proportional to 3,888.60, 5,835.14 and 2,041.40 is: 3,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.60 : 5,835.14 = 2,041.40 : x
  2. Step 2: Convert to fraction form
    3,888.60/5,835.14 = 2,041.40/x
  3. Step 3: Cross multiply
    3,888.60x = 5,835.14 × 2,041.40
  4. Step 4: Simplify right side
    3,888.60x = 11,911,854.80
  5. Step 5: Solve for x
    x = 11,911,854.80/3,888.60
  6. Step 6: Final answer
    x = 3,063.28

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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.