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Finding the Fourth Proportional to 16,430.80, 24,646.20 and 7,682.80

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Solution

The fourth proportional to 16,430.80, 24,646.20 and 7,682.80 is: 11,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.80 : 24,646.20 = 7,682.80 : x
  2. Step 2: Convert to fraction form
    16,430.80/24,646.20 = 7,682.80/x
  3. Step 3: Cross multiply
    16,430.80x = 24,646.20 × 7,682.80
  4. Step 4: Simplify right side
    16,430.80x = 189,351,825.36
  5. Step 5: Solve for x
    x = 189,351,825.36/16,430.80
  6. Step 6: Final answer
    x = 11,524.20

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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.