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Finding the Fourth Proportional to 3,580.80, 5,368.38 and 1,731.42

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Solution

The fourth proportional to 3,580.80, 5,368.38 and 1,731.42 is: 2,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.80 : 5,368.38 = 1,731.42 : x
  2. Step 2: Convert to fraction form
    3,580.80/5,368.38 = 1,731.42/x
  3. Step 3: Cross multiply
    3,580.80x = 5,368.38 × 1,731.42
  4. Step 4: Simplify right side
    3,580.80x = 9,294,920.50
  5. Step 5: Solve for x
    x = 9,294,920.50/3,580.80
  6. Step 6: Final answer
    x = 2,595.77

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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.