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Finding the Fourth Proportional to 1,783.94, 2,686.28 and 1,324.94

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Solution

The fourth proportional to 1,783.94, 2,686.28 and 1,324.94 is: 1,995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.94 : 2,686.28 = 1,324.94 : x
  2. Step 2: Convert to fraction form
    1,783.94/2,686.28 = 1,324.94/x
  3. Step 3: Cross multiply
    1,783.94x = 2,686.28 × 1,324.94
  4. Step 4: Simplify right side
    1,783.94x = 3,559,159.82
  5. Step 5: Solve for x
    x = 3,559,159.82/1,783.94
  6. Step 6: Final answer
    x = 1,995.11

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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.