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Finding the Fourth Proportional to 28,800, 39,746.04 and 16,224.75

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Solution

The fourth proportional to 28,800, 39,746.04 and 16,224.75 is: 22,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 39,746.04 = 16,224.75 : x
  2. Step 2: Convert to fraction form
    28,800/39,746.04 = 16,224.75/x
  3. Step 3: Cross multiply
    28,800x = 39,746.04 × 16,224.75
  4. Step 4: Simplify right side
    28,800x = 644,869,562.49
  5. Step 5: Solve for x
    x = 644,869,562.49/28,800
  6. Step 6: Final answer
    x = 22,391.30

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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.