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Finding the Fourth Proportional to 2,631.28, 3,946.92 and 683.32

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Solution

The fourth proportional to 2,631.28, 3,946.92 and 683.32 is: 1,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.28 : 3,946.92 = 683.32 : x
  2. Step 2: Convert to fraction form
    2,631.28/3,946.92 = 683.32/x
  3. Step 3: Cross multiply
    2,631.28x = 3,946.92 × 683.32
  4. Step 4: Simplify right side
    2,631.28x = 2,697,009.37
  5. Step 5: Solve for x
    x = 2,697,009.37/2,631.28
  6. Step 6: Final answer
    x = 1,024.98

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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.