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Finding the Fourth Proportional to 31,851.60, 47,782.80 and 9,664.80

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Solution

The fourth proportional to 31,851.60, 47,782.80 and 9,664.80 is: 14,498.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.60 : 47,782.80 = 9,664.80 : x
  2. Step 2: Convert to fraction form
    31,851.60/47,782.80 = 9,664.80/x
  3. Step 3: Cross multiply
    31,851.60x = 47,782.80 × 9,664.80
  4. Step 4: Simplify right side
    31,851.60x = 461,811,205.44
  5. Step 5: Solve for x
    x = 461,811,205.44/31,851.60
  6. Step 6: Final answer
    x = 14,498.84

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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.