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Finding the Fourth Proportional to 16,500.91, 22,762.07 and 9,780.07

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Solution

The fourth proportional to 16,500.91, 22,762.07 and 9,780.07 is: 13,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.91 : 22,762.07 = 9,780.07 : x
  2. Step 2: Convert to fraction form
    16,500.91/22,762.07 = 9,780.07/x
  3. Step 3: Cross multiply
    16,500.91x = 22,762.07 × 9,780.07
  4. Step 4: Simplify right side
    16,500.91x = 222,614,589.04
  5. Step 5: Solve for x
    x = 222,614,589.04/16,500.91
  6. Step 6: Final answer
    x = 13,491.05

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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.