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Finding the Fourth Proportional to 3,421.61, 5,128.31 and 1,340.31

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Solution

The fourth proportional to 3,421.61, 5,128.31 and 1,340.31 is: 2,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.61 : 5,128.31 = 1,340.31 : x
  2. Step 2: Convert to fraction form
    3,421.61/5,128.31 = 1,340.31/x
  3. Step 3: Cross multiply
    3,421.61x = 5,128.31 × 1,340.31
  4. Step 4: Simplify right side
    3,421.61x = 6,873,547.76
  5. Step 5: Solve for x
    x = 6,873,547.76/3,421.61
  6. Step 6: Final answer
    x = 2,008.86

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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.