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Finding the Fourth Proportional to 16,647.60, 22,977.54 and 9,578.12

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Solution

The fourth proportional to 16,647.60, 22,977.54 and 9,578.12 is: 13,220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,647.60 : 22,977.54 = 9,578.12 : x
  2. Step 2: Convert to fraction form
    16,647.60/22,977.54 = 9,578.12/x
  3. Step 3: Cross multiply
    16,647.60x = 22,977.54 × 9,578.12
  4. Step 4: Simplify right side
    16,647.60x = 220,081,635.42
  5. Step 5: Solve for x
    x = 220,081,635.42/16,647.60
  6. Step 6: Final answer
    x = 13,220.02

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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.