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Finding the Fourth Proportional to 12,894.77, 17,743.23 and 12,509.61

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Solution

The fourth proportional to 12,894.77, 17,743.23 and 12,509.61 is: 17,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.77 : 17,743.23 = 12,509.61 : x
  2. Step 2: Convert to fraction form
    12,894.77/17,743.23 = 12,509.61/x
  3. Step 3: Cross multiply
    12,894.77x = 17,743.23 × 12,509.61
  4. Step 4: Simplify right side
    12,894.77x = 221,960,887.44
  5. Step 5: Solve for x
    x = 221,960,887.44/12,894.77
  6. Step 6: Final answer
    x = 17,213.26

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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.