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Finding the Fourth Proportional to 23,783, 32,820.54 and 13,847

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Solution

The fourth proportional to 23,783, 32,820.54 and 13,847 is: 19,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783 : 32,820.54 = 13,847 : x
  2. Step 2: Convert to fraction form
    23,783/32,820.54 = 13,847/x
  3. Step 3: Cross multiply
    23,783x = 32,820.54 × 13,847
  4. Step 4: Simplify right side
    23,783x = 454,466,017.38
  5. Step 5: Solve for x
    x = 454,466,017.38/23,783
  6. Step 6: Final answer
    x = 19,108.86

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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.