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Finding the Fourth Proportional to 12,293.16, 16,940.96 and 8,509.31

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Solution

The fourth proportional to 12,293.16, 16,940.96 and 8,509.31 is: 11,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293.16 : 16,940.96 = 8,509.31 : x
  2. Step 2: Convert to fraction form
    12,293.16/16,940.96 = 8,509.31/x
  3. Step 3: Cross multiply
    12,293.16x = 16,940.96 × 8,509.31
  4. Step 4: Simplify right side
    12,293.16x = 144,155,899.33
  5. Step 5: Solve for x
    x = 144,155,899.33/12,293.16
  6. Step 6: Final answer
    x = 11,726.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.