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Finding the Fourth Proportional to 2,374.64, 3,561.95 and 643.27

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Solution

The fourth proportional to 2,374.64, 3,561.95 and 643.27 is: 964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.64 : 3,561.95 = 643.27 : x
  2. Step 2: Convert to fraction form
    2,374.64/3,561.95 = 643.27/x
  3. Step 3: Cross multiply
    2,374.64x = 3,561.95 × 643.27
  4. Step 4: Simplify right side
    2,374.64x = 2,291,283.13
  5. Step 5: Solve for x
    x = 2,291,283.13/2,374.64
  6. Step 6: Final answer
    x = 964.90

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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.