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Finding the Fourth Proportional to 12,896.87, 19,345.30 and 8,513.30

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Solution

The fourth proportional to 12,896.87, 19,345.30 and 8,513.30 is: 12,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.87 : 19,345.30 = 8,513.30 : x
  2. Step 2: Convert to fraction form
    12,896.87/19,345.30 = 8,513.30/x
  3. Step 3: Cross multiply
    12,896.87x = 19,345.30 × 8,513.30
  4. Step 4: Simplify right side
    12,896.87x = 164,692,342.49
  5. Step 5: Solve for x
    x = 164,692,342.49/12,896.87
  6. Step 6: Final answer
    x = 12,769.95

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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.