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Finding the Fourth Proportional to 2,779.52, 3,835.55 and 1,660.50

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Solution

The fourth proportional to 2,779.52, 3,835.55 and 1,660.50 is: 2,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.52 : 3,835.55 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    2,779.52/3,835.55 = 1,660.50/x
  3. Step 3: Cross multiply
    2,779.52x = 3,835.55 × 1,660.50
  4. Step 4: Simplify right side
    2,779.52x = 6,368,934.93
  5. Step 5: Solve for x
    x = 6,368,934.93/2,779.52
  6. Step 6: Final answer
    x = 2,291.38

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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.