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Finding the Fourth Proportional to 3,614, 5,421.48 and 1,562.48

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Solution

The fourth proportional to 3,614, 5,421.48 and 1,562.48 is: 2,343.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614 : 5,421.48 = 1,562.48 : x
  2. Step 2: Convert to fraction form
    3,614/5,421.48 = 1,562.48/x
  3. Step 3: Cross multiply
    3,614x = 5,421.48 × 1,562.48
  4. Step 4: Simplify right side
    3,614x = 8,470,954.07
  5. Step 5: Solve for x
    x = 8,470,954.07/3,614
  6. Step 6: Final answer
    x = 2,343.93

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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.