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Finding the Fourth Proportional to 52,864, 72,945.62 and 28,984.40

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Solution

The fourth proportional to 52,864, 72,945.62 and 28,984.40 is: 39,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,864 : 72,945.62 = 28,984.40 : x
  2. Step 2: Convert to fraction form
    52,864/72,945.62 = 28,984.40/x
  3. Step 3: Cross multiply
    52,864x = 72,945.62 × 28,984.40
  4. Step 4: Simplify right side
    52,864x = 2,114,285,028.33
  5. Step 5: Solve for x
    x = 2,114,285,028.33/52,864
  6. Step 6: Final answer
    x = 39,994.80

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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.