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Finding the Fourth Proportional to 5,779.64, 8,665.80 and 3,184.40

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Solution

The fourth proportional to 5,779.64, 8,665.80 and 3,184.40 is: 4,774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.64 : 8,665.80 = 3,184.40 : x
  2. Step 2: Convert to fraction form
    5,779.64/8,665.80 = 3,184.40/x
  3. Step 3: Cross multiply
    5,779.64x = 8,665.80 × 3,184.40
  4. Step 4: Simplify right side
    5,779.64x = 27,595,330.19
  5. Step 5: Solve for x
    x = 27,595,330.19/5,779.64
  6. Step 6: Final answer
    x = 4,774.58

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