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Finding the Fourth Proportional to 4,242.60, 6,365.46 and 1,779

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Solution

The fourth proportional to 4,242.60, 6,365.46 and 1,779 is: 2,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.60 : 6,365.46 = 1,779 : x
  2. Step 2: Convert to fraction form
    4,242.60/6,365.46 = 1,779/x
  3. Step 3: Cross multiply
    4,242.60x = 6,365.46 × 1,779
  4. Step 4: Simplify right side
    4,242.60x = 11,324,153.34
  5. Step 5: Solve for x
    x = 11,324,153.34/4,242.60
  6. Step 6: Final answer
    x = 2,669.15

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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.