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Finding the Fourth Proportional to 16,357.78, 22,572.36 and 9,899.84

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Solution

The fourth proportional to 16,357.78, 22,572.36 and 9,899.84 is: 13,660.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.78 : 22,572.36 = 9,899.84 : x
  2. Step 2: Convert to fraction form
    16,357.78/22,572.36 = 9,899.84/x
  3. Step 3: Cross multiply
    16,357.78x = 22,572.36 × 9,899.84
  4. Step 4: Simplify right side
    16,357.78x = 223,462,752.42
  5. Step 5: Solve for x
    x = 223,462,752.42/16,357.78
  6. Step 6: Final answer
    x = 13,660.95

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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.