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Finding the Fourth Proportional to 21,934.27, 30,267.48 and 12,980.22

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Solution

The fourth proportional to 21,934.27, 30,267.48 and 12,980.22 is: 17,911.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,934.27 : 30,267.48 = 12,980.22 : x
  2. Step 2: Convert to fraction form
    21,934.27/30,267.48 = 12,980.22/x
  3. Step 3: Cross multiply
    21,934.27x = 30,267.48 × 12,980.22
  4. Step 4: Simplify right side
    21,934.27x = 392,878,549.25
  5. Step 5: Solve for x
    x = 392,878,549.25/21,934.27
  6. Step 6: Final answer
    x = 17,911.63

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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.