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Finding the Fourth Proportional to 10,855.99, 14,963.22 and 9,914.97

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Solution

The fourth proportional to 10,855.99, 14,963.22 and 9,914.97 is: 13,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.99 : 14,963.22 = 9,914.97 : x
  2. Step 2: Convert to fraction form
    10,855.99/14,963.22 = 9,914.97/x
  3. Step 3: Cross multiply
    10,855.99x = 14,963.22 × 9,914.97
  4. Step 4: Simplify right side
    10,855.99x = 148,359,877.40
  5. Step 5: Solve for x
    x = 148,359,877.40/10,855.99
  6. Step 6: Final answer
    x = 13,666.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.