Home / 2,427.52-3,345.52-1,984

Finding the Fourth Proportional to 2,427.52, 3,345.52 and 1,984

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Solution

The fourth proportional to 2,427.52, 3,345.52 and 1,984 is: 2,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.52 : 3,345.52 = 1,984 : x
  2. Step 2: Convert to fraction form
    2,427.52/3,345.52 = 1,984/x
  3. Step 3: Cross multiply
    2,427.52x = 3,345.52 × 1,984
  4. Step 4: Simplify right side
    2,427.52x = 6,637,511.68
  5. Step 5: Solve for x
    x = 6,637,511.68/2,427.52
  6. Step 6: Final answer
    x = 2,734.28

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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.