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Finding the Fourth Proportional to 8,957, 13,435.50 and 3,485

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Solution

The fourth proportional to 8,957, 13,435.50 and 3,485 is: 5,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957 : 13,435.50 = 3,485 : x
  2. Step 2: Convert to fraction form
    8,957/13,435.50 = 3,485/x
  3. Step 3: Cross multiply
    8,957x = 13,435.50 × 3,485
  4. Step 4: Simplify right side
    8,957x = 46,822,717.50
  5. Step 5: Solve for x
    x = 46,822,717.50/8,957
  6. Step 6: Final answer
    x = 5,227.50

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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.