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Finding the Fourth Proportional to 12,960.24, 17,893.72 and 9,970.80

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Solution

The fourth proportional to 12,960.24, 17,893.72 and 9,970.80 is: 13,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.24 : 17,893.72 = 9,970.80 : x
  2. Step 2: Convert to fraction form
    12,960.24/17,893.72 = 9,970.80/x
  3. Step 3: Cross multiply
    12,960.24x = 17,893.72 × 9,970.80
  4. Step 4: Simplify right side
    12,960.24x = 178,414,703.38
  5. Step 5: Solve for x
    x = 178,414,703.38/12,960.24
  6. Step 6: Final answer
    x = 13,766.31

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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.