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Finding the Fourth Proportional to 2,427.81, 3,642.21 and 784.23

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Solution

The fourth proportional to 2,427.81, 3,642.21 and 784.23 is: 1,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.81 : 3,642.21 = 784.23 : x
  2. Step 2: Convert to fraction form
    2,427.81/3,642.21 = 784.23/x
  3. Step 3: Cross multiply
    2,427.81x = 3,642.21 × 784.23
  4. Step 4: Simplify right side
    2,427.81x = 2,856,330.35
  5. Step 5: Solve for x
    x = 2,856,330.35/2,427.81
  6. Step 6: Final answer
    x = 1,176.50

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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.