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Finding the Fourth Proportional to 13,776.84, 20,653.02 and 6,753.06

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Solution

The fourth proportional to 13,776.84, 20,653.02 and 6,753.06 is: 10,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.84 : 20,653.02 = 6,753.06 : x
  2. Step 2: Convert to fraction form
    13,776.84/20,653.02 = 6,753.06/x
  3. Step 3: Cross multiply
    13,776.84x = 20,653.02 × 6,753.06
  4. Step 4: Simplify right side
    13,776.84x = 139,471,083.24
  5. Step 5: Solve for x
    x = 139,471,083.24/13,776.84
  6. Step 6: Final answer
    x = 10,123.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.