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Finding the Fourth Proportional to 43,185.92, 64,783.16 and 12,021.16

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Solution

The fourth proportional to 43,185.92, 64,783.16 and 12,021.16 is: 18,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,185.92 : 64,783.16 = 12,021.16 : x
  2. Step 2: Convert to fraction form
    43,185.92/64,783.16 = 12,021.16/x
  3. Step 3: Cross multiply
    43,185.92x = 64,783.16 × 12,021.16
  4. Step 4: Simplify right side
    43,185.92x = 778,768,731.67
  5. Step 5: Solve for x
    x = 778,768,731.67/43,185.92
  6. Step 6: Final answer
    x = 18,032.93

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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.