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Finding the Fourth Proportional to 2,427.84, 3,636 and 1,840.32

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Solution

The fourth proportional to 2,427.84, 3,636 and 1,840.32 is: 2,756.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.84 : 3,636 = 1,840.32 : x
  2. Step 2: Convert to fraction form
    2,427.84/3,636 = 1,840.32/x
  3. Step 3: Cross multiply
    2,427.84x = 3,636 × 1,840.32
  4. Step 4: Simplify right side
    2,427.84x = 6,691,403.52
  5. Step 5: Solve for x
    x = 6,691,403.52/2,427.84
  6. Step 6: Final answer
    x = 2,756.11

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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.