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Finding the Fourth Proportional to 6,429.65, 9,660.65 and 4,090.70

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Solution

The fourth proportional to 6,429.65, 9,660.65 and 4,090.70 is: 6,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.65 : 9,660.65 = 4,090.70 : x
  2. Step 2: Convert to fraction form
    6,429.65/9,660.65 = 4,090.70/x
  3. Step 3: Cross multiply
    6,429.65x = 9,660.65 × 4,090.70
  4. Step 4: Simplify right side
    6,429.65x = 39,518,847.66
  5. Step 5: Solve for x
    x = 39,518,847.66/6,429.65
  6. Step 6: Final answer
    x = 6,146.35

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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.