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Finding the Fourth Proportional to 2,985.70, 4,120.20 and 1,659.39

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Solution

The fourth proportional to 2,985.70, 4,120.20 and 1,659.39 is: 2,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.70 : 4,120.20 = 1,659.39 : x
  2. Step 2: Convert to fraction form
    2,985.70/4,120.20 = 1,659.39/x
  3. Step 3: Cross multiply
    2,985.70x = 4,120.20 × 1,659.39
  4. Step 4: Simplify right side
    2,985.70x = 6,837,018.68
  5. Step 5: Solve for x
    x = 6,837,018.68/2,985.70
  6. Step 6: Final answer
    x = 2,289.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.