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Finding the Fourth Proportional to 4,080, 5,640 and 3,715.68

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Solution

The fourth proportional to 4,080, 5,640 and 3,715.68 is: 5,136.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,080 : 5,640 = 3,715.68 : x
  2. Step 2: Convert to fraction form
    4,080/5,640 = 3,715.68/x
  3. Step 3: Cross multiply
    4,080x = 5,640 × 3,715.68
  4. Step 4: Simplify right side
    4,080x = 20,956,435.20
  5. Step 5: Solve for x
    x = 20,956,435.20/4,080
  6. Step 6: Final answer
    x = 5,136.38

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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.