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Finding the Fourth Proportional to 15,754.83, 21,742.22 and 9,041.82

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Solution

The fourth proportional to 15,754.83, 21,742.22 and 9,041.82 is: 12,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.83 : 21,742.22 = 9,041.82 : x
  2. Step 2: Convert to fraction form
    15,754.83/21,742.22 = 9,041.82/x
  3. Step 3: Cross multiply
    15,754.83x = 21,742.22 × 9,041.82
  4. Step 4: Simplify right side
    15,754.83x = 196,589,239.64
  5. Step 5: Solve for x
    x = 196,589,239.64/15,754.83
  6. Step 6: Final answer
    x = 12,478.03

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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.