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Finding the Fourth Proportional to 1,742.56, 2,394.50 and 1,392.64

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Solution

The fourth proportional to 1,742.56, 2,394.50 and 1,392.64 is: 1,913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.56 : 2,394.50 = 1,392.64 : x
  2. Step 2: Convert to fraction form
    1,742.56/2,394.50 = 1,392.64/x
  3. Step 3: Cross multiply
    1,742.56x = 2,394.50 × 1,392.64
  4. Step 4: Simplify right side
    1,742.56x = 3,334,676.48
  5. Step 5: Solve for x
    x = 3,334,676.48/1,742.56
  6. Step 6: Final answer
    x = 1,913.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.