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Finding the Fourth Proportional to 28,953, 43,429.68 and 8,176.68

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Solution

The fourth proportional to 28,953, 43,429.68 and 8,176.68 is: 12,265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,953 : 43,429.68 = 8,176.68 : x
  2. Step 2: Convert to fraction form
    28,953/43,429.68 = 8,176.68/x
  3. Step 3: Cross multiply
    28,953x = 43,429.68 × 8,176.68
  4. Step 4: Simplify right side
    28,953x = 355,110,595.86
  5. Step 5: Solve for x
    x = 355,110,595.86/28,953
  6. Step 6: Final answer
    x = 12,265.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.