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Finding the Fourth Proportional to 31,777.45, 47,662.53 and 8,405.71

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Solution

The fourth proportional to 31,777.45, 47,662.53 and 8,405.71 is: 12,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.45 : 47,662.53 = 8,405.71 : x
  2. Step 2: Convert to fraction form
    31,777.45/47,662.53 = 8,405.71/x
  3. Step 3: Cross multiply
    31,777.45x = 47,662.53 × 8,405.71
  4. Step 4: Simplify right side
    31,777.45x = 400,637,254.37
  5. Step 5: Solve for x
    x = 400,637,254.37/31,777.45
  6. Step 6: Final answer
    x = 12,607.60

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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.