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Finding the Fourth Proportional to 12,847.60, 19,285.80 and 9,938.80

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Solution

The fourth proportional to 12,847.60, 19,285.80 and 9,938.80 is: 14,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847.60 : 19,285.80 = 9,938.80 : x
  2. Step 2: Convert to fraction form
    12,847.60/19,285.80 = 9,938.80/x
  3. Step 3: Cross multiply
    12,847.60x = 19,285.80 × 9,938.80
  4. Step 4: Simplify right side
    12,847.60x = 191,677,709.04
  5. Step 5: Solve for x
    x = 191,677,709.04/12,847.60
  6. Step 6: Final answer
    x = 14,919.34

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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.