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Finding the Fourth Proportional to 5,942.40, 8,915.14 and 1,782.24

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Solution

The fourth proportional to 5,942.40, 8,915.14 and 1,782.24 is: 2,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.40 : 8,915.14 = 1,782.24 : x
  2. Step 2: Convert to fraction form
    5,942.40/8,915.14 = 1,782.24/x
  3. Step 3: Cross multiply
    5,942.40x = 8,915.14 × 1,782.24
  4. Step 4: Simplify right side
    5,942.40x = 15,888,919.11
  5. Step 5: Solve for x
    x = 15,888,919.11/5,942.40
  6. Step 6: Final answer
    x = 2,673.82

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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.