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Finding the Fourth Proportional to 1,325.21, 1,829.15 and 827.55

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Solution

The fourth proportional to 1,325.21, 1,829.15 and 827.55 is: 1,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.21 : 1,829.15 = 827.55 : x
  2. Step 2: Convert to fraction form
    1,325.21/1,829.15 = 827.55/x
  3. Step 3: Cross multiply
    1,325.21x = 1,829.15 × 827.55
  4. Step 4: Simplify right side
    1,325.21x = 1,513,708.94
  5. Step 5: Solve for x
    x = 1,513,708.94/1,325.21
  6. Step 6: Final answer
    x = 1,142.24

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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.