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Finding the Fourth Proportional to 3,915, 5,873.31 and 1,317.87

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Solution

The fourth proportional to 3,915, 5,873.31 and 1,317.87 is: 1,977.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915 : 5,873.31 = 1,317.87 : x
  2. Step 2: Convert to fraction form
    3,915/5,873.31 = 1,317.87/x
  3. Step 3: Cross multiply
    3,915x = 5,873.31 × 1,317.87
  4. Step 4: Simplify right side
    3,915x = 7,740,259.05
  5. Step 5: Solve for x
    x = 7,740,259.05/3,915
  6. Step 6: Final answer
    x = 1,977.08

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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.