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Finding the Fourth Proportional to 2,125.10, 3,187.65 and 954.65

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Solution

The fourth proportional to 2,125.10, 3,187.65 and 954.65 is: 1,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.10 : 3,187.65 = 954.65 : x
  2. Step 2: Convert to fraction form
    2,125.10/3,187.65 = 954.65/x
  3. Step 3: Cross multiply
    2,125.10x = 3,187.65 × 954.65
  4. Step 4: Simplify right side
    2,125.10x = 3,043,090.07
  5. Step 5: Solve for x
    x = 3,043,090.07/2,125.10
  6. Step 6: Final answer
    x = 1,431.98

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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.