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Finding the Fourth Proportional to 1,829.36, 2,754.16 and 1,256.00

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Solution

The fourth proportional to 1,829.36, 2,754.16 and 1,256.00 is: 1,890.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.36 : 2,754.16 = 1,256.00 : x
  2. Step 2: Convert to fraction form
    1,829.36/2,754.16 = 1,256.00/x
  3. Step 3: Cross multiply
    1,829.36x = 2,754.16 × 1,256.00
  4. Step 4: Simplify right side
    1,829.36x = 3,459,208.05
  5. Step 5: Solve for x
    x = 3,459,208.05/1,829.36
  6. Step 6: Final answer
    x = 1,890.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.