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Finding the Fourth Proportional to 12,753.80, 17,602.41 and 8,215.19

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Solution

The fourth proportional to 12,753.80, 17,602.41 and 8,215.19 is: 11,338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.80 : 17,602.41 = 8,215.19 : x
  2. Step 2: Convert to fraction form
    12,753.80/17,602.41 = 8,215.19/x
  3. Step 3: Cross multiply
    12,753.80x = 17,602.41 × 8,215.19
  4. Step 4: Simplify right side
    12,753.80x = 144,607,151.41
  5. Step 5: Solve for x
    x = 144,607,151.41/12,753.80
  6. Step 6: Final answer
    x = 11,338.36

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Half scale
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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.