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Finding the Fourth Proportional to 11,963.68, 16,502.10 and 7,720.12

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Solution

The fourth proportional to 11,963.68, 16,502.10 and 7,720.12 is: 10,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.68 : 16,502.10 = 7,720.12 : x
  2. Step 2: Convert to fraction form
    11,963.68/16,502.10 = 7,720.12/x
  3. Step 3: Cross multiply
    11,963.68x = 16,502.10 × 7,720.12
  4. Step 4: Simplify right side
    11,963.68x = 127,398,192.25
  5. Step 5: Solve for x
    x = 127,398,192.25/11,963.68
  6. Step 6: Final answer
    x = 10,648.75

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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.