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Finding the Fourth Proportional to 5,779.12, 8,668.84 and 1,830.40

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Solution

The fourth proportional to 5,779.12, 8,668.84 and 1,830.40 is: 2,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.12 : 8,668.84 = 1,830.40 : x
  2. Step 2: Convert to fraction form
    5,779.12/8,668.84 = 1,830.40/x
  3. Step 3: Cross multiply
    5,779.12x = 8,668.84 × 1,830.40
  4. Step 4: Simplify right side
    5,779.12x = 15,867,444.74
  5. Step 5: Solve for x
    x = 15,867,444.74/5,779.12
  6. Step 6: Final answer
    x = 2,745.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.