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Finding the Fourth Proportional to 2,402.41, 3,587.39 and 1,964.50

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Solution

The fourth proportional to 2,402.41, 3,587.39 and 1,964.50 is: 2,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.41 : 3,587.39 = 1,964.50 : x
  2. Step 2: Convert to fraction form
    2,402.41/3,587.39 = 1,964.50/x
  3. Step 3: Cross multiply
    2,402.41x = 3,587.39 × 1,964.50
  4. Step 4: Simplify right side
    2,402.41x = 7,047,436.41
  5. Step 5: Solve for x
    x = 7,047,436.41/2,402.41
  6. Step 6: Final answer
    x = 2,933.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.