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Finding the Fourth Proportional to 3,870.36, 5,802.12 and 1,404.60

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Solution

The fourth proportional to 3,870.36, 5,802.12 and 1,404.60 is: 2,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.36 : 5,802.12 = 1,404.60 : x
  2. Step 2: Convert to fraction form
    3,870.36/5,802.12 = 1,404.60/x
  3. Step 3: Cross multiply
    3,870.36x = 5,802.12 × 1,404.60
  4. Step 4: Simplify right side
    3,870.36x = 8,149,657.75
  5. Step 5: Solve for x
    x = 8,149,657.75/3,870.36
  6. Step 6: Final answer
    x = 2,105.66

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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.