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Finding the Fourth Proportional to 2,430.93, 3,638.86 and 1,964.82

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Solution

The fourth proportional to 2,430.93, 3,638.86 and 1,964.82 is: 2,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.93 : 3,638.86 = 1,964.82 : x
  2. Step 2: Convert to fraction form
    2,430.93/3,638.86 = 1,964.82/x
  3. Step 3: Cross multiply
    2,430.93x = 3,638.86 × 1,964.82
  4. Step 4: Simplify right side
    2,430.93x = 7,149,704.91
  5. Step 5: Solve for x
    x = 7,149,704.91/2,430.93
  6. Step 6: Final answer
    x = 2,941.14

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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.