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Finding the Fourth Proportional to 12,828, 17,702.64 and 9,108.48

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Solution

The fourth proportional to 12,828, 17,702.64 and 9,108.48 is: 12,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,828 : 17,702.64 = 9,108.48 : x
  2. Step 2: Convert to fraction form
    12,828/17,702.64 = 9,108.48/x
  3. Step 3: Cross multiply
    12,828x = 17,702.64 × 9,108.48
  4. Step 4: Simplify right side
    12,828x = 161,244,142.39
  5. Step 5: Solve for x
    x = 161,244,142.39/12,828
  6. Step 6: Final answer
    x = 12,569.70

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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.