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Finding the Fourth Proportional to 9,991.82, 14,964.41 and 7,897.77

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Solution

The fourth proportional to 9,991.82, 14,964.41 and 7,897.77 is: 11,828.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.82 : 14,964.41 = 7,897.77 : x
  2. Step 2: Convert to fraction form
    9,991.82/14,964.41 = 7,897.77/x
  3. Step 3: Cross multiply
    9,991.82x = 14,964.41 × 7,897.77
  4. Step 4: Simplify right side
    9,991.82x = 118,185,488.11
  5. Step 5: Solve for x
    x = 118,185,488.11/9,991.82
  6. Step 6: Final answer
    x = 11,828.22

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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.