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Finding the Fourth Proportional to 10,675.60, 16,002.60 and 6,290.80

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Solution

The fourth proportional to 10,675.60, 16,002.60 and 6,290.80 is: 9,429.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.60 : 16,002.60 = 6,290.80 : x
  2. Step 2: Convert to fraction form
    10,675.60/16,002.60 = 6,290.80/x
  3. Step 3: Cross multiply
    10,675.60x = 16,002.60 × 6,290.80
  4. Step 4: Simplify right side
    10,675.60x = 100,669,156.08
  5. Step 5: Solve for x
    x = 100,669,156.08/10,675.60
  6. Step 6: Final answer
    x = 9,429.84

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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.