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Finding the Fourth Proportional to 47,728.50, 65,914.32 and 35,772.90

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Solution

The fourth proportional to 47,728.50, 65,914.32 and 35,772.90 is: 49,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,728.50 : 65,914.32 = 35,772.90 : x
  2. Step 2: Convert to fraction form
    47,728.50/65,914.32 = 35,772.90/x
  3. Step 3: Cross multiply
    47,728.50x = 65,914.32 × 35,772.90
  4. Step 4: Simplify right side
    47,728.50x = 2,357,946,377.93
  5. Step 5: Solve for x
    x = 2,357,946,377.93/47,728.50
  6. Step 6: Final answer
    x = 49,403.32

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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.