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Finding the Fourth Proportional to 1,888.89, 2,828.12 and 1,425.24

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Solution

The fourth proportional to 1,888.89, 2,828.12 and 1,425.24 is: 2,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.89 : 2,828.12 = 1,425.24 : x
  2. Step 2: Convert to fraction form
    1,888.89/2,828.12 = 1,425.24/x
  3. Step 3: Cross multiply
    1,888.89x = 2,828.12 × 1,425.24
  4. Step 4: Simplify right side
    1,888.89x = 4,030,742.62
  5. Step 5: Solve for x
    x = 4,030,742.62/1,888.89
  6. Step 6: Final answer
    x = 2,133.92

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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.