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Finding the Fourth Proportional to 28,693.13, 43,047 and 16,856.93

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Solution

The fourth proportional to 28,693.13, 43,047 and 16,856.93 is: 25,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,693.13 : 43,047 = 16,856.93 : x
  2. Step 2: Convert to fraction form
    28,693.13/43,047 = 16,856.93/x
  3. Step 3: Cross multiply
    28,693.13x = 43,047 × 16,856.93
  4. Step 4: Simplify right side
    28,693.13x = 725,640,373.33
  5. Step 5: Solve for x
    x = 725,640,373.33/28,693.13
  6. Step 6: Final answer
    x = 25,289.69

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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.