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Finding the Fourth Proportional to 3,185.72, 4,779.72 and 1,430.56

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Solution

The fourth proportional to 3,185.72, 4,779.72 and 1,430.56 is: 2,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.72 : 4,779.72 = 1,430.56 : x
  2. Step 2: Convert to fraction form
    3,185.72/4,779.72 = 1,430.56/x
  3. Step 3: Cross multiply
    3,185.72x = 4,779.72 × 1,430.56
  4. Step 4: Simplify right side
    3,185.72x = 6,837,676.24
  5. Step 5: Solve for x
    x = 6,837,676.24/3,185.72
  6. Step 6: Final answer
    x = 2,146.35

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1.5x scale

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.