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Finding the Fourth Proportional to 40,925.80, 56,400.42 and 35,857

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Solution

The fourth proportional to 40,925.80, 56,400.42 and 35,857 is: 49,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,925.80 : 56,400.42 = 35,857 : x
  2. Step 2: Convert to fraction form
    40,925.80/56,400.42 = 35,857/x
  3. Step 3: Cross multiply
    40,925.80x = 56,400.42 × 35,857
  4. Step 4: Simplify right side
    40,925.80x = 2,022,349,859.94
  5. Step 5: Solve for x
    x = 2,022,349,859.94/40,925.80
  6. Step 6: Final answer
    x = 49,415.04

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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.