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Finding the Fourth Proportional to 2,825.42, 4,238.08 and 877.62

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Solution

The fourth proportional to 2,825.42, 4,238.08 and 877.62 is: 1,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,825.42 : 4,238.08 = 877.62 : x
  2. Step 2: Convert to fraction form
    2,825.42/4,238.08 = 877.62/x
  3. Step 3: Cross multiply
    2,825.42x = 4,238.08 × 877.62
  4. Step 4: Simplify right side
    2,825.42x = 3,719,421.58
  5. Step 5: Solve for x
    x = 3,719,421.58/2,825.42
  6. Step 6: Final answer
    x = 1,316.41

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1.5x scale

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.