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Finding the Fourth Proportional to 14,878.49, 20,532.30 and 8,164.16

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Solution

The fourth proportional to 14,878.49, 20,532.30 and 8,164.16 is: 11,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.49 : 20,532.30 = 8,164.16 : x
  2. Step 2: Convert to fraction form
    14,878.49/20,532.30 = 8,164.16/x
  3. Step 3: Cross multiply
    14,878.49x = 20,532.30 × 8,164.16
  4. Step 4: Simplify right side
    14,878.49x = 167,628,982.37
  5. Step 5: Solve for x
    x = 167,628,982.37/14,878.49
  6. Step 6: Final answer
    x = 11,266.53

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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.