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Finding the Fourth Proportional to 5,231.76, 7,846.42 and 1,946.40

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Solution

The fourth proportional to 5,231.76, 7,846.42 and 1,946.40 is: 2,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.76 : 7,846.42 = 1,946.40 : x
  2. Step 2: Convert to fraction form
    5,231.76/7,846.42 = 1,946.40/x
  3. Step 3: Cross multiply
    5,231.76x = 7,846.42 × 1,946.40
  4. Step 4: Simplify right side
    5,231.76x = 15,272,271.89
  5. Step 5: Solve for x
    x = 15,272,271.89/5,231.76
  6. Step 6: Final answer
    x = 2,919.15

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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.