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Finding the Fourth Proportional to 3,195, 4,779.54 and 2,312.10

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Solution

The fourth proportional to 3,195, 4,779.54 and 2,312.10 is: 3,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,195 : 4,779.54 = 2,312.10 : x
  2. Step 2: Convert to fraction form
    3,195/4,779.54 = 2,312.10/x
  3. Step 3: Cross multiply
    3,195x = 4,779.54 × 2,312.10
  4. Step 4: Simplify right side
    3,195x = 11,050,774.43
  5. Step 5: Solve for x
    x = 11,050,774.43/3,195
  6. Step 6: Final answer
    x = 3,458.77

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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.