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Finding the Fourth Proportional to 4,769, 6,581.04 and 2,779.52

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Solution

The fourth proportional to 4,769, 6,581.04 and 2,779.52 is: 3,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769 : 6,581.04 = 2,779.52 : x
  2. Step 2: Convert to fraction form
    4,769/6,581.04 = 2,779.52/x
  3. Step 3: Cross multiply
    4,769x = 6,581.04 × 2,779.52
  4. Step 4: Simplify right side
    4,769x = 18,292,132.30
  5. Step 5: Solve for x
    x = 18,292,132.30/4,769
  6. Step 6: Final answer
    x = 3,835.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.