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Finding the Fourth Proportional to 14,011, 21,020.24 and 5,246.80

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Solution

The fourth proportional to 14,011, 21,020.24 and 5,246.80 is: 7,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,011 : 21,020.24 = 5,246.80 : x
  2. Step 2: Convert to fraction form
    14,011/21,020.24 = 5,246.80/x
  3. Step 3: Cross multiply
    14,011x = 21,020.24 × 5,246.80
  4. Step 4: Simplify right side
    14,011x = 110,288,995.23
  5. Step 5: Solve for x
    x = 110,288,995.23/14,011
  6. Step 6: Final answer
    x = 7,871.60

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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.