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Finding the Fourth Proportional to 31,813.60, 47,726.80 and 11,032.80

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Solution

The fourth proportional to 31,813.60, 47,726.80 and 11,032.80 is: 16,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.60 : 47,726.80 = 11,032.80 : x
  2. Step 2: Convert to fraction form
    31,813.60/47,726.80 = 11,032.80/x
  3. Step 3: Cross multiply
    31,813.60x = 47,726.80 × 11,032.80
  4. Step 4: Simplify right side
    31,813.60x = 526,560,239.04
  5. Step 5: Solve for x
    x = 526,560,239.04/31,813.60
  6. Step 6: Final answer
    x = 16,551.42

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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.