Home / 2,002.35-3,004.07-615.66

Finding the Fourth Proportional to 2,002.35, 3,004.07 and 615.66

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Solution

The fourth proportional to 2,002.35, 3,004.07 and 615.66 is: 923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.35 : 3,004.07 = 615.66 : x
  2. Step 2: Convert to fraction form
    2,002.35/3,004.07 = 615.66/x
  3. Step 3: Cross multiply
    2,002.35x = 3,004.07 × 615.66
  4. Step 4: Simplify right side
    2,002.35x = 1,849,485.74
  5. Step 5: Solve for x
    x = 1,849,485.74/2,002.35
  6. Step 6: Final answer
    x = 923.66

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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.