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Finding the Fourth Proportional to 31,777.56, 47,666.52 and 8,403.84

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Solution

The fourth proportional to 31,777.56, 47,666.52 and 8,403.84 is: 12,605.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.56 : 47,666.52 = 8,403.84 : x
  2. Step 2: Convert to fraction form
    31,777.56/47,666.52 = 8,403.84/x
  3. Step 3: Cross multiply
    31,777.56x = 47,666.52 × 8,403.84
  4. Step 4: Simplify right side
    31,777.56x = 400,581,807.44
  5. Step 5: Solve for x
    x = 400,581,807.44/31,777.56
  6. Step 6: Final answer
    x = 12,605.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.