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Finding the Fourth Proportional to 3,176.80, 4,384 and 1,779.68

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Solution

The fourth proportional to 3,176.80, 4,384 and 1,779.68 is: 2,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.80 : 4,384 = 1,779.68 : x
  2. Step 2: Convert to fraction form
    3,176.80/4,384 = 1,779.68/x
  3. Step 3: Cross multiply
    3,176.80x = 4,384 × 1,779.68
  4. Step 4: Simplify right side
    3,176.80x = 7,802,117.12
  5. Step 5: Solve for x
    x = 7,802,117.12/3,176.80
  6. Step 6: Final answer
    x = 2,455.97

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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.