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Finding the Fourth Proportional to 15,783.80, 23,682.98 and 7,021.22

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Solution

The fourth proportional to 15,783.80, 23,682.98 and 7,021.22 is: 10,535.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.80 : 23,682.98 = 7,021.22 : x
  2. Step 2: Convert to fraction form
    15,783.80/23,682.98 = 7,021.22/x
  3. Step 3: Cross multiply
    15,783.80x = 23,682.98 × 7,021.22
  4. Step 4: Simplify right side
    15,783.80x = 166,283,311.97
  5. Step 5: Solve for x
    x = 166,283,311.97/15,783.80
  6. Step 6: Final answer
    x = 10,535.07

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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.