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Finding the Fourth Proportional to 1,883.55, 2,824.65 and 958.80

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Solution

The fourth proportional to 1,883.55, 2,824.65 and 958.80 is: 1,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.55 : 2,824.65 = 958.80 : x
  2. Step 2: Convert to fraction form
    1,883.55/2,824.65 = 958.80/x
  3. Step 3: Cross multiply
    1,883.55x = 2,824.65 × 958.80
  4. Step 4: Simplify right side
    1,883.55x = 2,708,274.42
  5. Step 5: Solve for x
    x = 2,708,274.42/1,883.55
  6. Step 6: Final answer
    x = 1,437.86

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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.