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Finding the Fourth Proportional to 1,783.96, 2,674 and 1,435.64

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Solution

The fourth proportional to 1,783.96, 2,674 and 1,435.64 is: 2,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.96 : 2,674 = 1,435.64 : x
  2. Step 2: Convert to fraction form
    1,783.96/2,674 = 1,435.64/x
  3. Step 3: Cross multiply
    1,783.96x = 2,674 × 1,435.64
  4. Step 4: Simplify right side
    1,783.96x = 3,838,901.36
  5. Step 5: Solve for x
    x = 3,838,901.36/1,783.96
  6. Step 6: Final answer
    x = 2,151.90

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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.