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Finding the Fourth Proportional to 2,428.89, 3,642.87 and 785.04

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Solution

The fourth proportional to 2,428.89, 3,642.87 and 785.04 is: 1,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.89 : 3,642.87 = 785.04 : x
  2. Step 2: Convert to fraction form
    2,428.89/3,642.87 = 785.04/x
  3. Step 3: Cross multiply
    2,428.89x = 3,642.87 × 785.04
  4. Step 4: Simplify right side
    2,428.89x = 2,859,798.66
  5. Step 5: Solve for x
    x = 2,859,798.66/2,428.89
  6. Step 6: Final answer
    x = 1,177.41

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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.