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Finding the Fourth Proportional to 3,440, 5,160.24 and 1,359.89

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Solution

The fourth proportional to 3,440, 5,160.24 and 1,359.89 is: 2,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440 : 5,160.24 = 1,359.89 : x
  2. Step 2: Convert to fraction form
    3,440/5,160.24 = 1,359.89/x
  3. Step 3: Cross multiply
    3,440x = 5,160.24 × 1,359.89
  4. Step 4: Simplify right side
    3,440x = 7,017,358.77
  5. Step 5: Solve for x
    x = 7,017,358.77/3,440
  6. Step 6: Final answer
    x = 2,039.93

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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.