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Finding the Fourth Proportional to 31,999.35, 47,978.42 and 13,292.27

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Solution

The fourth proportional to 31,999.35, 47,978.42 and 13,292.27 is: 19,929.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.35 : 47,978.42 = 13,292.27 : x
  2. Step 2: Convert to fraction form
    31,999.35/47,978.42 = 13,292.27/x
  3. Step 3: Cross multiply
    31,999.35x = 47,978.42 × 13,292.27
  4. Step 4: Simplify right side
    31,999.35x = 637,741,806.46
  5. Step 5: Solve for x
    x = 637,741,806.46/31,999.35
  6. Step 6: Final answer
    x = 19,929.84

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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.