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Finding the Fourth Proportional to 5,193.56, 7,788.72 and 1,730

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Solution

The fourth proportional to 5,193.56, 7,788.72 and 1,730 is: 2,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.56 : 7,788.72 = 1,730 : x
  2. Step 2: Convert to fraction form
    5,193.56/7,788.72 = 1,730/x
  3. Step 3: Cross multiply
    5,193.56x = 7,788.72 × 1,730
  4. Step 4: Simplify right side
    5,193.56x = 13,474,485.60
  5. Step 5: Solve for x
    x = 13,474,485.60/5,193.56
  6. Step 6: Final answer
    x = 2,594.46

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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.