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Finding the Fourth Proportional to 2,504.37, 3,756.80 and 860.70

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Solution

The fourth proportional to 2,504.37, 3,756.80 and 860.70 is: 1,291.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.37 : 3,756.80 = 860.70 : x
  2. Step 2: Convert to fraction form
    2,504.37/3,756.80 = 860.70/x
  3. Step 3: Cross multiply
    2,504.37x = 3,756.80 × 860.70
  4. Step 4: Simplify right side
    2,504.37x = 3,233,458.98
  5. Step 5: Solve for x
    x = 3,233,458.98/2,504.37
  6. Step 6: Final answer
    x = 1,291.13

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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.