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Finding the Fourth Proportional to 2,374.74, 3,562.11 and 643.32

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Solution

The fourth proportional to 2,374.74, 3,562.11 and 643.32 is: 964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.74 : 3,562.11 = 643.32 : x
  2. Step 2: Convert to fraction form
    2,374.74/3,562.11 = 643.32/x
  3. Step 3: Cross multiply
    2,374.74x = 3,562.11 × 643.32
  4. Step 4: Simplify right side
    2,374.74x = 2,291,576.61
  5. Step 5: Solve for x
    x = 2,291,576.61/2,374.74
  6. Step 6: Final answer
    x = 964.98

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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.