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Finding the Fourth Proportional to 13,983, 20,967.66 and 6,581.22

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Solution

The fourth proportional to 13,983, 20,967.66 and 6,581.22 is: 9,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,983 : 20,967.66 = 6,581.22 : x
  2. Step 2: Convert to fraction form
    13,983/20,967.66 = 6,581.22/x
  3. Step 3: Cross multiply
    13,983x = 20,967.66 × 6,581.22
  4. Step 4: Simplify right side
    13,983x = 137,992,783.35
  5. Step 5: Solve for x
    x = 137,992,783.35/13,983
  6. Step 6: Final answer
    x = 9,868.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.