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Finding the Fourth Proportional to 2,338.58, 3,507.39 and 877.70

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Solution

The fourth proportional to 2,338.58, 3,507.39 and 877.70 is: 1,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338.58 : 3,507.39 = 877.70 : x
  2. Step 2: Convert to fraction form
    2,338.58/3,507.39 = 877.70/x
  3. Step 3: Cross multiply
    2,338.58x = 3,507.39 × 877.70
  4. Step 4: Simplify right side
    2,338.58x = 3,078,436.20
  5. Step 5: Solve for x
    x = 3,078,436.20/2,338.58
  6. Step 6: Final answer
    x = 1,316.37

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1.5x scale

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.