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Finding the Fourth Proportional to 2,803.12, 3,870.40 and 1,809

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Solution

The fourth proportional to 2,803.12, 3,870.40 and 1,809 is: 2,497.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.12 : 3,870.40 = 1,809 : x
  2. Step 2: Convert to fraction form
    2,803.12/3,870.40 = 1,809/x
  3. Step 3: Cross multiply
    2,803.12x = 3,870.40 × 1,809
  4. Step 4: Simplify right side
    2,803.12x = 7,001,553.60
  5. Step 5: Solve for x
    x = 7,001,553.60/2,803.12
  6. Step 6: Final answer
    x = 2,497.77

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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.