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Finding the Fourth Proportional to 10,843.60, 16,277.55 and 8,389.30

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Solution

The fourth proportional to 10,843.60, 16,277.55 and 8,389.30 is: 12,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.60 : 16,277.55 = 8,389.30 : x
  2. Step 2: Convert to fraction form
    10,843.60/16,277.55 = 8,389.30/x
  3. Step 3: Cross multiply
    10,843.60x = 16,277.55 × 8,389.30
  4. Step 4: Simplify right side
    10,843.60x = 136,557,250.22
  5. Step 5: Solve for x
    x = 136,557,250.22/10,843.60
  6. Step 6: Final answer
    x = 12,593.35

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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.