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Finding the Fourth Proportional to 13,533.66, 18,678.49 and 8,227.45

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Solution

The fourth proportional to 13,533.66, 18,678.49 and 8,227.45 is: 11,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.66 : 18,678.49 = 8,227.45 : x
  2. Step 2: Convert to fraction form
    13,533.66/18,678.49 = 8,227.45/x
  3. Step 3: Cross multiply
    13,533.66x = 18,678.49 × 8,227.45
  4. Step 4: Simplify right side
    13,533.66x = 153,676,342.55
  5. Step 5: Solve for x
    x = 153,676,342.55/13,533.66
  6. Step 6: Final answer
    x = 11,355.12

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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.