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Finding the Fourth Proportional to 19,999.31, 29,999.46 and 5,208.89

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Solution

The fourth proportional to 19,999.31, 29,999.46 and 5,208.89 is: 7,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,999.31 : 29,999.46 = 5,208.89 : x
  2. Step 2: Convert to fraction form
    19,999.31/29,999.46 = 5,208.89/x
  3. Step 3: Cross multiply
    19,999.31x = 29,999.46 × 5,208.89
  4. Step 4: Simplify right side
    19,999.31x = 156,263,887.20
  5. Step 5: Solve for x
    x = 156,263,887.20/19,999.31
  6. Step 6: Final answer
    x = 7,813.46

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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.