Home / 1,787.82-2,468.34-1,457.04

Finding the Fourth Proportional to 1,787.82, 2,468.34 and 1,457.04

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Solution

The fourth proportional to 1,787.82, 2,468.34 and 1,457.04 is: 2,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.82 : 2,468.34 = 1,457.04 : x
  2. Step 2: Convert to fraction form
    1,787.82/2,468.34 = 1,457.04/x
  3. Step 3: Cross multiply
    1,787.82x = 2,468.34 × 1,457.04
  4. Step 4: Simplify right side
    1,787.82x = 3,596,457.77
  5. Step 5: Solve for x
    x = 3,596,457.77/1,787.82
  6. Step 6: Final answer
    x = 2,011.64

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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.