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Finding the Fourth Proportional to 4,289.04, 6,431.51 and 1,822.51

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Solution

The fourth proportional to 4,289.04, 6,431.51 and 1,822.51 is: 2,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.04 : 6,431.51 = 1,822.51 : x
  2. Step 2: Convert to fraction form
    4,289.04/6,431.51 = 1,822.51/x
  3. Step 3: Cross multiply
    4,289.04x = 6,431.51 × 1,822.51
  4. Step 4: Simplify right side
    4,289.04x = 11,721,491.29
  5. Step 5: Solve for x
    x = 11,721,491.29/4,289.04
  6. Step 6: Final answer
    x = 2,732.89

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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.