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Finding the Fourth Proportional to 9,991.85, 14,964.42 and 7,897.80

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Solution

The fourth proportional to 9,991.85, 14,964.42 and 7,897.80 is: 11,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.85 : 14,964.42 = 7,897.80 : x
  2. Step 2: Convert to fraction form
    9,991.85/14,964.42 = 7,897.80/x
  3. Step 3: Cross multiply
    9,991.85x = 14,964.42 × 7,897.80
  4. Step 4: Simplify right side
    9,991.85x = 118,185,996.28
  5. Step 5: Solve for x
    x = 118,185,996.28/9,991.85
  6. Step 6: Final answer
    x = 11,828.25

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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.