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Finding the Fourth Proportional to 50,580, 69,800.40 and 28,224.16

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Solution

The fourth proportional to 50,580, 69,800.40 and 28,224.16 is: 38,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,580 : 69,800.40 = 28,224.16 : x
  2. Step 2: Convert to fraction form
    50,580/69,800.40 = 28,224.16/x
  3. Step 3: Cross multiply
    50,580x = 69,800.40 × 28,224.16
  4. Step 4: Simplify right side
    50,580x = 1,970,057,657.66
  5. Step 5: Solve for x
    x = 1,970,057,657.66/50,580
  6. Step 6: Final answer
    x = 38,949.34

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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.