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Finding the Fourth Proportional to 1,787.79, 2,661.65 and 1,779.13

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Solution

The fourth proportional to 1,787.79, 2,661.65 and 1,779.13 is: 2,648.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.79 : 2,661.65 = 1,779.13 : x
  2. Step 2: Convert to fraction form
    1,787.79/2,661.65 = 1,779.13/x
  3. Step 3: Cross multiply
    1,787.79x = 2,661.65 × 1,779.13
  4. Step 4: Simplify right side
    1,787.79x = 4,735,429.82
  5. Step 5: Solve for x
    x = 4,735,429.82/1,787.79
  6. Step 6: Final answer
    x = 2,648.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.