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Finding the Fourth Proportional to 4,065, 5,609.84 and 2,492.79

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Solution

The fourth proportional to 4,065, 5,609.84 and 2,492.79 is: 3,440.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 5,609.84 = 2,492.79 : x
  2. Step 2: Convert to fraction form
    4,065/5,609.84 = 2,492.79/x
  3. Step 3: Cross multiply
    4,065x = 5,609.84 × 2,492.79
  4. Step 4: Simplify right side
    4,065x = 13,984,140.59
  5. Step 5: Solve for x
    x = 13,984,140.59/4,065
  6. Step 6: Final answer
    x = 3,440.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.