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Finding the Fourth Proportional to 2,783.04, 4,174.28 and 731.04

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Solution

The fourth proportional to 2,783.04, 4,174.28 and 731.04 is: 1,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.04 : 4,174.28 = 731.04 : x
  2. Step 2: Convert to fraction form
    2,783.04/4,174.28 = 731.04/x
  3. Step 3: Cross multiply
    2,783.04x = 4,174.28 × 731.04
  4. Step 4: Simplify right side
    2,783.04x = 3,051,565.65
  5. Step 5: Solve for x
    x = 3,051,565.65/2,783.04
  6. Step 6: Final answer
    x = 1,096.49

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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.