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Finding the Fourth Proportional to 10,690.40, 16,015.20 and 5,758.40

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Solution

The fourth proportional to 10,690.40, 16,015.20 and 5,758.40 is: 8,626.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.40 : 16,015.20 = 5,758.40 : x
  2. Step 2: Convert to fraction form
    10,690.40/16,015.20 = 5,758.40/x
  3. Step 3: Cross multiply
    10,690.40x = 16,015.20 × 5,758.40
  4. Step 4: Simplify right side
    10,690.40x = 92,221,927.68
  5. Step 5: Solve for x
    x = 92,221,927.68/10,690.40
  6. Step 6: Final answer
    x = 8,626.61

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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.