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Finding the Fourth Proportional to 12,289.64, 16,960.92 and 7,255.52

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Solution

The fourth proportional to 12,289.64, 16,960.92 and 7,255.52 is: 10,013.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.64 : 16,960.92 = 7,255.52 : x
  2. Step 2: Convert to fraction form
    12,289.64/16,960.92 = 7,255.52/x
  3. Step 3: Cross multiply
    12,289.64x = 16,960.92 × 7,255.52
  4. Step 4: Simplify right side
    12,289.64x = 123,060,294.28
  5. Step 5: Solve for x
    x = 123,060,294.28/12,289.64
  6. Step 6: Final answer
    x = 10,013.34

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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.