Home / 2,430.81-3,646.49-2,098.44

Finding the Fourth Proportional to 2,430.81, 3,646.49 and 2,098.44

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Solution

The fourth proportional to 2,430.81, 3,646.49 and 2,098.44 is: 3,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.81 : 3,646.49 = 2,098.44 : x
  2. Step 2: Convert to fraction form
    2,430.81/3,646.49 = 2,098.44/x
  3. Step 3: Cross multiply
    2,430.81x = 3,646.49 × 2,098.44
  4. Step 4: Simplify right side
    2,430.81x = 7,651,929.98
  5. Step 5: Solve for x
    x = 7,651,929.98/2,430.81
  6. Step 6: Final answer
    x = 3,147.89

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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.