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Finding the Fourth Proportional to 2,374.48, 3,561.71 and 643.11

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Solution

The fourth proportional to 2,374.48, 3,561.71 and 643.11 is: 964.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.48 : 3,561.71 = 643.11 : x
  2. Step 2: Convert to fraction form
    2,374.48/3,561.71 = 643.11/x
  3. Step 3: Cross multiply
    2,374.48x = 3,561.71 × 643.11
  4. Step 4: Simplify right side
    2,374.48x = 2,290,571.32
  5. Step 5: Solve for x
    x = 2,290,571.32/2,374.48
  6. Step 6: Final answer
    x = 964.66

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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.