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Finding the Fourth Proportional to 35,771.60, 49,189.80 and 31,047.68

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Solution

The fourth proportional to 35,771.60, 49,189.80 and 31,047.68 is: 42,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,771.60 : 49,189.80 = 31,047.68 : x
  2. Step 2: Convert to fraction form
    35,771.60/49,189.80 = 31,047.68/x
  3. Step 3: Cross multiply
    35,771.60x = 49,189.80 × 31,047.68
  4. Step 4: Simplify right side
    35,771.60x = 1,527,229,169.66
  5. Step 5: Solve for x
    x = 1,527,229,169.66/35,771.60
  6. Step 6: Final answer
    x = 42,693.90

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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.