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Finding the Fourth Proportional to 6,416.60, 9,609.60 and 3,119.10

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Solution

The fourth proportional to 6,416.60, 9,609.60 and 3,119.10 is: 4,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.60 : 9,609.60 = 3,119.10 : x
  2. Step 2: Convert to fraction form
    6,416.60/9,609.60 = 3,119.10/x
  3. Step 3: Cross multiply
    6,416.60x = 9,609.60 × 3,119.10
  4. Step 4: Simplify right side
    6,416.60x = 29,973,303.36
  5. Step 5: Solve for x
    x = 29,973,303.36/6,416.60
  6. Step 6: Final answer
    x = 4,671.21

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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.