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Finding the Fourth Proportional to 8,628.52, 12,942.78 and 4,009

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Solution

The fourth proportional to 8,628.52, 12,942.78 and 4,009 is: 6,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,628.52 : 12,942.78 = 4,009 : x
  2. Step 2: Convert to fraction form
    8,628.52/12,942.78 = 4,009/x
  3. Step 3: Cross multiply
    8,628.52x = 12,942.78 × 4,009
  4. Step 4: Simplify right side
    8,628.52x = 51,887,605.02
  5. Step 5: Solve for x
    x = 51,887,605.02/8,628.52
  6. Step 6: Final answer
    x = 6,013.50

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1.5x scale

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.