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Finding the Fourth Proportional to 11,963.93, 16,510.98 and 9,971.03

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Solution

The fourth proportional to 11,963.93, 16,510.98 and 9,971.03 is: 13,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.93 : 16,510.98 = 9,971.03 : x
  2. Step 2: Convert to fraction form
    11,963.93/16,510.98 = 9,971.03/x
  3. Step 3: Cross multiply
    11,963.93x = 16,510.98 × 9,971.03
  4. Step 4: Simplify right side
    11,963.93x = 164,631,450.64
  5. Step 5: Solve for x
    x = 164,631,450.64/11,963.93
  6. Step 6: Final answer
    x = 13,760.65

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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.