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Finding the Fourth Proportional to 2,421.84, 3,631.50 and 861.62

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Solution

The fourth proportional to 2,421.84, 3,631.50 and 861.62 is: 1,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.84 : 3,631.50 = 861.62 : x
  2. Step 2: Convert to fraction form
    2,421.84/3,631.50 = 861.62/x
  3. Step 3: Cross multiply
    2,421.84x = 3,631.50 × 861.62
  4. Step 4: Simplify right side
    2,421.84x = 3,128,975.18
  5. Step 5: Solve for x
    x = 3,128,975.18/2,421.84
  6. Step 6: Final answer
    x = 1,291.98

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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.