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Finding the Fourth Proportional to 2,888.40, 4,333.20 and 1,425.84

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Solution

The fourth proportional to 2,888.40, 4,333.20 and 1,425.84 is: 2,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,888.40 : 4,333.20 = 1,425.84 : x
  2. Step 2: Convert to fraction form
    2,888.40/4,333.20 = 1,425.84/x
  3. Step 3: Cross multiply
    2,888.40x = 4,333.20 × 1,425.84
  4. Step 4: Simplify right side
    2,888.40x = 6,178,449.89
  5. Step 5: Solve for x
    x = 6,178,449.89/2,888.40
  6. Step 6: Final answer
    x = 2,139.06

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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.