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Finding the Fourth Proportional to 5,783.29, 8,671.62 and 1,779.63

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Solution

The fourth proportional to 5,783.29, 8,671.62 and 1,779.63 is: 2,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.29 : 8,671.62 = 1,779.63 : x
  2. Step 2: Convert to fraction form
    5,783.29/8,671.62 = 1,779.63/x
  3. Step 3: Cross multiply
    5,783.29x = 8,671.62 × 1,779.63
  4. Step 4: Simplify right side
    5,783.29x = 15,432,275.10
  5. Step 5: Solve for x
    x = 15,432,275.10/5,783.29
  6. Step 6: Final answer
    x = 2,668.42

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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.