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Finding the Fourth Proportional to 2,170.30, 3,254.78 and 783.46

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Solution

The fourth proportional to 2,170.30, 3,254.78 and 783.46 is: 1,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.30 : 3,254.78 = 783.46 : x
  2. Step 2: Convert to fraction form
    2,170.30/3,254.78 = 783.46/x
  3. Step 3: Cross multiply
    2,170.30x = 3,254.78 × 783.46
  4. Step 4: Simplify right side
    2,170.30x = 2,549,969.75
  5. Step 5: Solve for x
    x = 2,549,969.75/2,170.30
  6. Step 6: Final answer
    x = 1,174.94

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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.