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Finding the Fourth Proportional to 2,807.16, 3,873.72 and 1,687.84

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Solution

The fourth proportional to 2,807.16, 3,873.72 and 1,687.84 is: 2,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.16 : 3,873.72 = 1,687.84 : x
  2. Step 2: Convert to fraction form
    2,807.16/3,873.72 = 1,687.84/x
  3. Step 3: Cross multiply
    2,807.16x = 3,873.72 × 1,687.84
  4. Step 4: Simplify right side
    2,807.16x = 6,538,216.21
  5. Step 5: Solve for x
    x = 6,538,216.21/2,807.16
  6. Step 6: Final answer
    x = 2,329.12

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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.