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Finding the Fourth Proportional to 2,346.56, 3,239.52 and 1,880

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Solution

The fourth proportional to 2,346.56, 3,239.52 and 1,880 is: 2,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.56 : 3,239.52 = 1,880 : x
  2. Step 2: Convert to fraction form
    2,346.56/3,239.52 = 1,880/x
  3. Step 3: Cross multiply
    2,346.56x = 3,239.52 × 1,880
  4. Step 4: Simplify right side
    2,346.56x = 6,090,297.60
  5. Step 5: Solve for x
    x = 6,090,297.60/2,346.56
  6. Step 6: Final answer
    x = 2,595.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.