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Finding the Fourth Proportional to 1,404.76, 2,107.14 and 1,335.64

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Solution

The fourth proportional to 1,404.76, 2,107.14 and 1,335.64 is: 2,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.76 : 2,107.14 = 1,335.64 : x
  2. Step 2: Convert to fraction form
    1,404.76/2,107.14 = 1,335.64/x
  3. Step 3: Cross multiply
    1,404.76x = 2,107.14 × 1,335.64
  4. Step 4: Simplify right side
    1,404.76x = 2,814,380.47
  5. Step 5: Solve for x
    x = 2,814,380.47/1,404.76
  6. Step 6: Final answer
    x = 2,003.46

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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.