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Finding the Fourth Proportional to 4,124.64, 6,189.36 and 1,659.68

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Solution

The fourth proportional to 4,124.64, 6,189.36 and 1,659.68 is: 2,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,124.64 : 6,189.36 = 1,659.68 : x
  2. Step 2: Convert to fraction form
    4,124.64/6,189.36 = 1,659.68/x
  3. Step 3: Cross multiply
    4,124.64x = 6,189.36 × 1,659.68
  4. Step 4: Simplify right side
    4,124.64x = 10,272,357.00
  5. Step 5: Solve for x
    x = 10,272,357.00/4,124.64
  6. Step 6: Final answer
    x = 2,490.49

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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.