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Finding the Fourth Proportional to 2,830.46, 4,244.31 and 981.68

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Solution

The fourth proportional to 2,830.46, 4,244.31 and 981.68 is: 1,472.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.46 : 4,244.31 = 981.68 : x
  2. Step 2: Convert to fraction form
    2,830.46/4,244.31 = 981.68/x
  3. Step 3: Cross multiply
    2,830.46x = 4,244.31 × 981.68
  4. Step 4: Simplify right side
    2,830.46x = 4,166,533.02
  5. Step 5: Solve for x
    x = 4,166,533.02/2,830.46
  6. Step 6: Final answer
    x = 1,472.04

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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.