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Finding the Fourth Proportional to 1,400.90, 2,101.95 and 783.68

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Solution

The fourth proportional to 1,400.90, 2,101.95 and 783.68 is: 1,175.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.90 : 2,101.95 = 783.68 : x
  2. Step 2: Convert to fraction form
    1,400.90/2,101.95 = 783.68/x
  3. Step 3: Cross multiply
    1,400.90x = 2,101.95 × 783.68
  4. Step 4: Simplify right side
    1,400.90x = 1,647,245.67
  5. Step 5: Solve for x
    x = 1,647,245.67/1,400.90
  6. Step 6: Final answer
    x = 1,175.85

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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.