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Finding the Fourth Proportional to 13,685.76, 18,881.71 and 8,019.61

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Solution

The fourth proportional to 13,685.76, 18,881.71 and 8,019.61 is: 11,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.76 : 18,881.71 = 8,019.61 : x
  2. Step 2: Convert to fraction form
    13,685.76/18,881.71 = 8,019.61/x
  3. Step 3: Cross multiply
    13,685.76x = 18,881.71 × 8,019.61
  4. Step 4: Simplify right side
    13,685.76x = 151,423,883.08
  5. Step 5: Solve for x
    x = 151,423,883.08/13,685.76
  6. Step 6: Final answer
    x = 11,064.34

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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.