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Finding the Fourth Proportional to 3,435, 5,152.26 and 1,792.47

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Solution

The fourth proportional to 3,435, 5,152.26 and 1,792.47 is: 2,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435 : 5,152.26 = 1,792.47 : x
  2. Step 2: Convert to fraction form
    3,435/5,152.26 = 1,792.47/x
  3. Step 3: Cross multiply
    3,435x = 5,152.26 × 1,792.47
  4. Step 4: Simplify right side
    3,435x = 9,235,271.48
  5. Step 5: Solve for x
    x = 9,235,271.48/3,435
  6. Step 6: Final answer
    x = 2,688.58

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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.