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Finding the Fourth Proportional to 1,335.69, 1,847.21 and 1,169.64

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Solution

The fourth proportional to 1,335.69, 1,847.21 and 1,169.64 is: 1,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.69 : 1,847.21 = 1,169.64 : x
  2. Step 2: Convert to fraction form
    1,335.69/1,847.21 = 1,169.64/x
  3. Step 3: Cross multiply
    1,335.69x = 1,847.21 × 1,169.64
  4. Step 4: Simplify right side
    1,335.69x = 2,160,564.86
  5. Step 5: Solve for x
    x = 2,160,564.86/1,335.69
  6. Step 6: Final answer
    x = 1,617.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.