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Finding the Fourth Proportional to 3,160.14, 4,734.53 and 1,860.90

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Solution

The fourth proportional to 3,160.14, 4,734.53 and 1,860.90 is: 2,788.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.14 : 4,734.53 = 1,860.90 : x
  2. Step 2: Convert to fraction form
    3,160.14/4,734.53 = 1,860.90/x
  3. Step 3: Cross multiply
    3,160.14x = 4,734.53 × 1,860.90
  4. Step 4: Simplify right side
    3,160.14x = 8,810,486.88
  5. Step 5: Solve for x
    x = 8,810,486.88/3,160.14
  6. Step 6: Final answer
    x = 2,788.01

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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.