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Finding the Fourth Proportional to 9,991.35, 14,963.67 and 7,897.30

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Solution

The fourth proportional to 9,991.35, 14,963.67 and 7,897.30 is: 11,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.35 : 14,963.67 = 7,897.30 : x
  2. Step 2: Convert to fraction form
    9,991.35/14,963.67 = 7,897.30/x
  3. Step 3: Cross multiply
    9,991.35x = 14,963.67 × 7,897.30
  4. Step 4: Simplify right side
    9,991.35x = 118,172,591.09
  5. Step 5: Solve for x
    x = 118,172,591.09/9,991.35
  6. Step 6: Final answer
    x = 11,827.49

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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.