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Finding the Fourth Proportional to 12,753.74, 17,602.31 and 8,215.11

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Solution

The fourth proportional to 12,753.74, 17,602.31 and 8,215.11 is: 11,338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,753.74 : 17,602.31 = 8,215.11 : x
  2. Step 2: Convert to fraction form
    12,753.74/17,602.31 = 8,215.11/x
  3. Step 3: Cross multiply
    12,753.74x = 17,602.31 × 8,215.11
  4. Step 4: Simplify right side
    12,753.74x = 144,604,933.44
  5. Step 5: Solve for x
    x = 144,604,933.44/12,753.74
  6. Step 6: Final answer
    x = 11,338.24

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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.