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Finding the Fourth Proportional to 9,999, 14,990.30 and 4,159.80

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Solution

The fourth proportional to 9,999, 14,990.30 and 4,159.80 is: 6,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999 : 14,990.30 = 4,159.80 : x
  2. Step 2: Convert to fraction form
    9,999/14,990.30 = 4,159.80/x
  3. Step 3: Cross multiply
    9,999x = 14,990.30 × 4,159.80
  4. Step 4: Simplify right side
    9,999x = 62,356,649.94
  5. Step 5: Solve for x
    x = 62,356,649.94/9,999
  6. Step 6: Final answer
    x = 6,236.29

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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.