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Finding the Fourth Proportional to 16,005.60, 23,977.80 and 8,607.60

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Solution

The fourth proportional to 16,005.60, 23,977.80 and 8,607.60 is: 12,894.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.60 : 23,977.80 = 8,607.60 : x
  2. Step 2: Convert to fraction form
    16,005.60/23,977.80 = 8,607.60/x
  3. Step 3: Cross multiply
    16,005.60x = 23,977.80 × 8,607.60
  4. Step 4: Simplify right side
    16,005.60x = 206,391,311.28
  5. Step 5: Solve for x
    x = 206,391,311.28/16,005.60
  6. Step 6: Final answer
    x = 12,894.94

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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.