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Finding the Fourth Proportional to 2,373.06, 3,559.14 and 641.28

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Solution

The fourth proportional to 2,373.06, 3,559.14 and 641.28 is: 961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.06 : 3,559.14 = 641.28 : x
  2. Step 2: Convert to fraction form
    2,373.06/3,559.14 = 641.28/x
  3. Step 3: Cross multiply
    2,373.06x = 3,559.14 × 641.28
  4. Step 4: Simplify right side
    2,373.06x = 2,282,405.30
  5. Step 5: Solve for x
    x = 2,282,405.30/2,373.06
  6. Step 6: Final answer
    x = 961.80

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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.