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Finding the Fourth Proportional to 11,681, 16,119.80 and 7,489.25

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Solution

The fourth proportional to 11,681, 16,119.80 and 7,489.25 is: 10,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681 : 16,119.80 = 7,489.25 : x
  2. Step 2: Convert to fraction form
    11,681/16,119.80 = 7,489.25/x
  3. Step 3: Cross multiply
    11,681x = 16,119.80 × 7,489.25
  4. Step 4: Simplify right side
    11,681x = 120,725,174.70
  5. Step 5: Solve for x
    x = 120,725,174.70/11,681
  6. Step 6: Final answer
    x = 10,335.17

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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.