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Finding the Fourth Proportional to 6,416.60, 9,624.90 and 3,651.80

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Solution

The fourth proportional to 6,416.60, 9,624.90 and 3,651.80 is: 5,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.60 : 9,624.90 = 3,651.80 : x
  2. Step 2: Convert to fraction form
    6,416.60/9,624.90 = 3,651.80/x
  3. Step 3: Cross multiply
    6,416.60x = 9,624.90 × 3,651.80
  4. Step 4: Simplify right side
    6,416.60x = 35,148,209.82
  5. Step 5: Solve for x
    x = 35,148,209.82/6,416.60
  6. Step 6: Final answer
    x = 5,477.70

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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.