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Finding the Fourth Proportional to 2,125.25, 3,186.87 and 790.12

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Solution

The fourth proportional to 2,125.25, 3,186.87 and 790.12 is: 1,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.25 : 3,186.87 = 790.12 : x
  2. Step 2: Convert to fraction form
    2,125.25/3,186.87 = 790.12/x
  3. Step 3: Cross multiply
    2,125.25x = 3,186.87 × 790.12
  4. Step 4: Simplify right side
    2,125.25x = 2,518,009.72
  5. Step 5: Solve for x
    x = 2,518,009.72/2,125.25
  6. Step 6: Final answer
    x = 1,184.81

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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.