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Finding the Fourth Proportional to 2,783.57, 4,174.54 and 934.47

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Solution

The fourth proportional to 2,783.57, 4,174.54 and 934.47 is: 1,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.57 : 4,174.54 = 934.47 : x
  2. Step 2: Convert to fraction form
    2,783.57/4,174.54 = 934.47/x
  3. Step 3: Cross multiply
    2,783.57x = 4,174.54 × 934.47
  4. Step 4: Simplify right side
    2,783.57x = 3,900,980.06
  5. Step 5: Solve for x
    x = 3,900,980.06/2,783.57
  6. Step 6: Final answer
    x = 1,401.43

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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.