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Finding the Fourth Proportional to 2,803.64, 3,866.92 and 1,857.76

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Solution

The fourth proportional to 2,803.64, 3,866.92 and 1,857.76 is: 2,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.64 : 3,866.92 = 1,857.76 : x
  2. Step 2: Convert to fraction form
    2,803.64/3,866.92 = 1,857.76/x
  3. Step 3: Cross multiply
    2,803.64x = 3,866.92 × 1,857.76
  4. Step 4: Simplify right side
    2,803.64x = 7,183,809.30
  5. Step 5: Solve for x
    x = 7,183,809.30/2,803.64
  6. Step 6: Final answer
    x = 2,562.32

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1.5x scale

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.