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Finding the Fourth Proportional to 14,821, 20,456.40 and 9,786.22

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Solution

The fourth proportional to 14,821, 20,456.40 and 9,786.22 is: 13,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821 : 20,456.40 = 9,786.22 : x
  2. Step 2: Convert to fraction form
    14,821/20,456.40 = 9,786.22/x
  3. Step 3: Cross multiply
    14,821x = 20,456.40 × 9,786.22
  4. Step 4: Simplify right side
    14,821x = 200,190,830.81
  5. Step 5: Solve for x
    x = 200,190,830.81/14,821
  6. Step 6: Final answer
    x = 13,507.24

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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.