Home / 2,456.64-3,680.64-1,156.32

Finding the Fourth Proportional to 2,456.64, 3,680.64 and 1,156.32

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Solution

The fourth proportional to 2,456.64, 3,680.64 and 1,156.32 is: 1,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.64 : 3,680.64 = 1,156.32 : x
  2. Step 2: Convert to fraction form
    2,456.64/3,680.64 = 1,156.32/x
  3. Step 3: Cross multiply
    2,456.64x = 3,680.64 × 1,156.32
  4. Step 4: Simplify right side
    2,456.64x = 4,255,997.64
  5. Step 5: Solve for x
    x = 4,255,997.64/2,456.64
  6. Step 6: Final answer
    x = 1,732.45

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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.