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Finding the Fourth Proportional to 12,853.63, 17,732.41 and 7,539.22

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Solution

The fourth proportional to 12,853.63, 17,732.41 and 7,539.22 is: 10,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.63 : 17,732.41 = 7,539.22 : x
  2. Step 2: Convert to fraction form
    12,853.63/17,732.41 = 7,539.22/x
  3. Step 3: Cross multiply
    12,853.63x = 17,732.41 × 7,539.22
  4. Step 4: Simplify right side
    12,853.63x = 133,688,540.12
  5. Step 5: Solve for x
    x = 133,688,540.12/12,853.63
  6. Step 6: Final answer
    x = 10,400.84

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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.