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Finding the Fourth Proportional to 21,523.89, 29,702.95 and 11,963.48

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Solution

The fourth proportional to 21,523.89, 29,702.95 and 11,963.48 is: 16,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.89 : 29,702.95 = 11,963.48 : x
  2. Step 2: Convert to fraction form
    21,523.89/29,702.95 = 11,963.48/x
  3. Step 3: Cross multiply
    21,523.89x = 29,702.95 × 11,963.48
  4. Step 4: Simplify right side
    21,523.89x = 355,350,581.23
  5. Step 5: Solve for x
    x = 355,350,581.23/21,523.89
  6. Step 6: Final answer
    x = 16,509.59

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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.