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Finding the Fourth Proportional to 21,983, 30,328.58 and 13,366.22

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Solution

The fourth proportional to 21,983, 30,328.58 and 13,366.22 is: 18,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,983 : 30,328.58 = 13,366.22 : x
  2. Step 2: Convert to fraction form
    21,983/30,328.58 = 13,366.22/x
  3. Step 3: Cross multiply
    21,983x = 30,328.58 × 13,366.22
  4. Step 4: Simplify right side
    21,983x = 405,378,472.57
  5. Step 5: Solve for x
    x = 405,378,472.57/21,983
  6. Step 6: Final answer
    x = 18,440.54

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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.