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Finding the Fourth Proportional to 21,761.64, 30,041.28 and 12,806.28

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Solution

The fourth proportional to 21,761.64, 30,041.28 and 12,806.28 is: 17,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.64 : 30,041.28 = 12,806.28 : x
  2. Step 2: Convert to fraction form
    21,761.64/30,041.28 = 12,806.28/x
  3. Step 3: Cross multiply
    21,761.64x = 30,041.28 × 12,806.28
  4. Step 4: Simplify right side
    21,761.64x = 384,717,043.24
  5. Step 5: Solve for x
    x = 384,717,043.24/21,761.64
  6. Step 6: Final answer
    x = 17,678.68

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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.