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Finding the Fourth Proportional to 11,963.57, 16,510.25 and 9,970.79

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Solution

The fourth proportional to 11,963.57, 16,510.25 and 9,970.79 is: 13,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.57 : 16,510.25 = 9,970.79 : x
  2. Step 2: Convert to fraction form
    11,963.57/16,510.25 = 9,970.79/x
  3. Step 3: Cross multiply
    11,963.57x = 16,510.25 × 9,970.79
  4. Step 4: Simplify right side
    11,963.57x = 164,620,177.97
  5. Step 5: Solve for x
    x = 164,620,177.97/11,963.57
  6. Step 6: Final answer
    x = 13,760.13

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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.