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Finding the Fourth Proportional to 5,579.67, 8,368.76 and 1,419.31

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Solution

The fourth proportional to 5,579.67, 8,368.76 and 1,419.31 is: 2,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,579.67 : 8,368.76 = 1,419.31 : x
  2. Step 2: Convert to fraction form
    5,579.67/8,368.76 = 1,419.31/x
  3. Step 3: Cross multiply
    5,579.67x = 8,368.76 × 1,419.31
  4. Step 4: Simplify right side
    5,579.67x = 11,877,847.38
  5. Step 5: Solve for x
    x = 11,877,847.38/5,579.67
  6. Step 6: Final answer
    x = 2,128.77

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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.