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Finding the Fourth Proportional to 31,854.84, 47,782.74 and 8,484.60

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Solution

The fourth proportional to 31,854.84, 47,782.74 and 8,484.60 is: 12,727.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854.84 : 47,782.74 = 8,484.60 : x
  2. Step 2: Convert to fraction form
    31,854.84/47,782.74 = 8,484.60/x
  3. Step 3: Cross multiply
    31,854.84x = 47,782.74 × 8,484.60
  4. Step 4: Simplify right side
    31,854.84x = 405,417,435.80
  5. Step 5: Solve for x
    x = 405,417,435.80/31,854.84
  6. Step 6: Final answer
    x = 12,727.03

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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.