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Finding the Fourth Proportional to 14,647.70, 20,212.93 and 8,982.46

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Solution

The fourth proportional to 14,647.70, 20,212.93 and 8,982.46 is: 12,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.70 : 20,212.93 = 8,982.46 : x
  2. Step 2: Convert to fraction form
    14,647.70/20,212.93 = 8,982.46/x
  3. Step 3: Cross multiply
    14,647.70x = 20,212.93 × 8,982.46
  4. Step 4: Simplify right side
    14,647.70x = 181,561,835.21
  5. Step 5: Solve for x
    x = 181,561,835.21/14,647.70
  6. Step 6: Final answer
    x = 12,395.25

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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.