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Finding the Fourth Proportional to 21,937.76, 30,274.24 and 12,506.24

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Solution

The fourth proportional to 21,937.76, 30,274.24 and 12,506.24 is: 17,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937.76 : 30,274.24 = 12,506.24 : x
  2. Step 2: Convert to fraction form
    21,937.76/30,274.24 = 12,506.24/x
  3. Step 3: Cross multiply
    21,937.76x = 30,274.24 × 12,506.24
  4. Step 4: Simplify right side
    21,937.76x = 378,616,911.26
  5. Step 5: Solve for x
    x = 378,616,911.26/21,937.76
  6. Step 6: Final answer
    x = 17,258.69

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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.