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Finding the Fourth Proportional to 2,374.86, 3,562.29 and 643.48

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Solution

The fourth proportional to 2,374.86, 3,562.29 and 643.48 is: 965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.86 : 3,562.29 = 643.48 : x
  2. Step 2: Convert to fraction form
    2,374.86/3,562.29 = 643.48/x
  3. Step 3: Cross multiply
    2,374.86x = 3,562.29 × 643.48
  4. Step 4: Simplify right side
    2,374.86x = 2,292,262.37
  5. Step 5: Solve for x
    x = 2,292,262.37/2,374.86
  6. Step 6: Final answer
    x = 965.22

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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.