Home / 1,542.90-2,310.64-882.77

Finding the Fourth Proportional to 1,542.90, 2,310.64 and 882.77

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Solution

The fourth proportional to 1,542.90, 2,310.64 and 882.77 is: 1,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.90 : 2,310.64 = 882.77 : x
  2. Step 2: Convert to fraction form
    1,542.90/2,310.64 = 882.77/x
  3. Step 3: Cross multiply
    1,542.90x = 2,310.64 × 882.77
  4. Step 4: Simplify right side
    1,542.90x = 2,039,759.26
  5. Step 5: Solve for x
    x = 2,039,759.26/1,542.90
  6. Step 6: Final answer
    x = 1,322.03

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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.